<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <title>Clearing Decimals from Equations</title>
  <style>
    * {
      box-sizing: border-box;
      margin: 0;
      padding: 0;
    }
    body {
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      background: #f8fafc;
      color: #1e293b;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: space-between;
      min-height: 100vh;
      padding: 12px;
      user-select: none;
    }

    .container {
      width: 100%;
      max-width: 580px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 12px;
    }

    /* Tabs */
    .nav-tabs {
      display: grid;
      grid-template-columns: repeat(4, 1fr);
      gap: 6px;
      width: 100%;
    }
    .tab-btn {
      padding: 8px 4px;
      background: #ffffff;
      border: 1px solid #cbd5e1;
      border-radius: 8px;
      font-size: 12px;
      font-weight: 600;
      color: #64748b;
      cursor: pointer;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 2px;
      transition: background-color 0.2s, border-color 0.2s, color 0.2s, box-shadow 0.2s;
    }
    .tab-btn span.num {
      font-size: 10px;
      text-transform: uppercase;
      letter-spacing: 0.5px;
      opacity: 0.8;
    }
    .tab-btn.active {
      background: #2563eb;
      color: #ffffff;
      border-color: #2563eb;
      box-shadow: 0 2px 6px rgba(37, 99, 235, 0.25);
    }
    .tab-btn.active span.num {
      color: #bfdbfe;
    }

    /* Stage */
    .stage {
      position: relative;
      width: 100%;
      min-height: 310px;
      background: #ffffff;
      border: 1px solid #e2e8f0;
      border-radius: 12px;
      overflow: hidden;
    }

    .step-panel {
      position: absolute;
      inset: 0;
      padding: 16px 14px;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      opacity: 0;
      pointer-events: none;
      transition: opacity 0.25s ease, transform 0.25s ease;
      transform: translateY(6px);
    }
    .step-panel.active {
      opacity: 1;
      pointer-events: auto;
      transform: translateY(0);
    }

    /* Badges */
    .badge {
      display: inline-flex;
      align-items: center;
      gap: 6px;
      padding: 4px 12px;
      background: #eff6ff;
      color: #1d4ed8;
      border: 1px solid #bfdbfe;
      border-radius: 20px;
      font-size: 12px;
      font-weight: 700;
      margin-bottom: 12px;
      text-align: center;
    }
    .badge.highlight {
      background: #fffbeb;
      color: #b45309;
      border-color: #fde68a;
    }
    .badge.success {
      background: #ecfdf5;
      color: #047857;
      border-color: #a7f3d0;
    }

    /* Math Typography */
    .math-expr {
      font-family: "Cambria Math", "Georgia", serif;
      letter-spacing: 0.5px;
    }
    .var {
      font-style: italic;
      font-weight: 600;
      color: #0f172a;
    }

    /* Step 1 Styles */
    .eq-display {
      display: flex;
      align-items: center;
      justify-content: center;
      flex-wrap: wrap;
      gap: 8px;
      font-size: 24px;
      font-weight: 600;
      margin-bottom: 14px;
    }
    .term-pill {
      position: relative;
      padding: 4px 10px;
      border-radius: 8px;
      background: #f1f5f9;
      border: 1.5px solid #cbd5e1;
    }
    .term-pill.target {
      background: #fef3c7;
      border-color: #f59e0b;
      color: #92400e;
    }
    .term-pill.max-target {
      background: #fee2e2;
      border-color: #ef4444;
      color: #991b1b;
      font-weight: 700;
    }

    .callout-row {
      display: flex;
      justify-content: space-around;
      width: 100%;
      max-width: 420px;
      gap: 8px;
      margin-top: 4px;
    }
    .callout-card {
      flex: 1;
      padding: 8px;
      border-radius: 8px;
      text-align: center;
      font-size: 12px;
      background: #f8fafc;
      border: 1px solid #e2e8f0;
    }
    .callout-card.primary {
      background: #fff7ed;
      border-color: #fed7aa;
    }
    .callout-card.primary strong {
      color: #c2410c;
    }
    .callout-card.secondary {
      background: #eff6ff;
      border-color: #bfdbfe;
    }
    .callout-card.secondary strong {
      color: #1d4ed8;
    }

    .takeaway-pill {
      margin-top: 12px;
      font-size: 13px;
      font-weight: 600;
      color: #1e293b;
      background: #e0f2fe;
      border: 1px solid #7dd3fc;
      padding: 6px 14px;
      border-radius: 6px;
      text-align: center;
    }

    /* Step 2 Styles */
    .dist-grid {
      display: grid;
      grid-template-columns: repeat(2, 1fr);
      gap: 8px;
      width: 100%;
      max-width: 480px;
      margin-bottom: 10px;
    }
    .dist-card {
      background: #f8fafc;
      border: 1px solid #cbd5e1;
      border-radius: 8px;
      padding: 8px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 4px;
    }
    .dist-mult {
      font-size: 12px;
      font-weight: 700;
      color: #2563eb;
    }
    .dist-shift {
      font-size: 11px;
      color: #64748b;
    }
    .dist-res {
      font-size: 16px;
      font-weight: 700;
      color: #0f172a;
    }

    /* Step 3 Styles */
    .compare-box {
      width: 100%;
      max-width: 440px;
      display: flex;
      flex-direction: column;
      gap: 8px;
    }
    .compare-row {
      display: flex;
      align-items: center;
      justify-content: space-between;
      padding: 10px 14px;
      border-radius: 8px;
      background: #f8fafc;
      border: 1px solid #e2e8f0;
    }
    .compare-row.new {
      background: #f0fdf4;
      border-color: #86efac;
    }
    .compare-label {
      font-size: 11px;
      text-transform: uppercase;
      font-weight: 700;
      color: #64748b;
    }
    .compare-row.new .compare-label {
      color: #15803d;
    }
    .compare-val {
      font-size: 18px;
      font-weight: 700;
    }

    /* Step 4 Styles */
    .solve-steps {
      display: flex;
      flex-direction: column;
      gap: 6px;
      width: 100%;
      max-width: 440px;
    }
    .solve-item {
      display: flex;
      align-items: center;
      justify-content: space-between;
      padding: 6px 12px;
      border-radius: 6px;
      background: #f8fafc;
      border: 1px solid #e2e8f0;
      font-size: 14px;
    }
    .action-tag {
      font-size: 11px;
      font-weight: 700;
      padding: 3px 8px;
      border-radius: 4px;
      background: #fee2e2;
      color: #b91c1c;
    }
    .action-tag.div-tag {
      background: #e0e7ff;
      color: #4338ca;
    }
    .solve-item.final {
      background: #ecfdf5;
      border: 1.5px solid #34d399;
    }
    .final-val {
      font-size: 18px;
      font-weight: 800;
      color: #047857;
    }

    /* Controls */
    .controls {
      display: flex;
      align-items: center;
      gap: 12px;
      width: 100%;
      justify-content: space-between;
    }
    .btn-ctrl {
      padding: 8px 16px;
      background: #ffffff;
      border: 1px solid #cbd5e1;
      border-radius: 8px;
      font-size: 13px;
      font-weight: 600;
      color: #334155;
      cursor: pointer;
      display: flex;
      align-items: center;
      gap: 4px;
      transition: background-color 0.15s, border-color 0.15s;
    }
    .btn-ctrl:hover {
      background: #f1f5f9;
      border-color: #94a3b8;
    }
    .btn-ctrl:disabled {
      opacity: 0.4;
      cursor: not-allowed;
    }
    .dots {
      display: flex;
      gap: 6px;
    }
    .dot {
      width: 8px;
      height: 8px;
      border-radius: 50%;
      background: #cbd5e1;
      cursor: pointer;
      transition: background-color 0.2s, width 0.2s, border-radius 0.2s;
    }
    .dot.active {
      background: #2563eb;
      width: 22px;
      border-radius: 4px;
    }

    @media (max-width: 420px) {
      .eq-display {
        font-size: 19px;
        gap: 4px;
      }
      .term-pill {
        padding: 2px 6px;
      }
      .dist-grid {
        gap: 6px;
      }
      .dist-card {
        padding: 6px 4px;
      }
      .dist-res {
        font-size: 14px;
      }
      .compare-val {
        font-size: 15px;
      }
      .tab-btn {
        font-size: 11px;
        padding: 6px 2px;
      }
      .stage {
        min-height: 330px;
      }
    }
  </style>
</head>
<body>

  <div class="container">
    
    <div class="nav-tabs" role="tablist">
      <button class="tab-btn active" data-step="0" role="tab" aria-selected="true">
        <span class="num">Step 1</span>
        <span>Count</span>
      </button>
      <button class="tab-btn" data-step="1" role="tab" aria-selected="false">
        <span class="num">Step 2</span>
        <span>Multiply</span>
      </button>
      <button class="tab-btn" data-step="2" role="tab" aria-selected="false">
        <span class="num">Step 3</span>
        <span>Integers</span>
      </button>
      <button class="tab-btn" data-step="3" role="tab" aria-selected="false">
        <span class="num">Step 4</span>
        <span>Solve</span>
      </button>
    </div>

    
    <div class="stage">
      
      <div class="step-panel active" id="panel-0">
        <div class="badge highlight">🔍 Find the Maximum Decimal Places</div>
        
        <div class="eq-display math-expr">
          <span class="term-pill target">0.30<span class="var">x</span></span>
          <span>+</span>
          <span class="term-pill">15</span>
          <span>=</span>
          <span class="term-pill max-target">0.05<span class="var">x</span></span>
          <span>+</span>
          <span class="term-pill">20</span>
        </div>

        <div class="callout-row">
          <div class="callout-card secondary">
            <div><strong class="math-expr">0.3<span class="var">x</span></strong> = 0.30<span class="var">x</span></div>
            <div style="color:#64748b; font-size:11px; margin-top:2px;">1 to 2 decimal places</div>
          </div>
          <div class="callout-card primary">
            <div><strong class="math-expr">0.05<span class="var">x</span></strong></div>
            <div style="color:#c2410c; font-weight:700; font-size:11px; margin-top:2px;">2 decimal places (Max)</div>
          </div>
        </div>

        <div class="takeaway-pill">
          💡 Max 2 decimal places &rarr; Multiply <strong>all terms</strong> by <strong>100</strong>
        </div>
      </div>

      
      <div class="step-panel" id="panel-1">
        <div class="badge">⚡ Distribute 100 to Every Single Term</div>
        
        <div class="dist-grid math-expr">
          <div class="dist-card">
            <div class="dist-mult">100 &times; 0.30<span class="var">x</span></div>
            <div class="dist-shift">Shift 2 decimals right &rarr;</div>
            <div class="dist-res">30<span class="var">x</span></div>
          </div>
          <div class="dist-card">
            <div class="dist-mult">100 &times; 15</div>
            <div class="dist-shift">Add 2 zeros &rarr;</div>
            <div class="dist-res">1,500</div>
          </div>
          <div class="dist-card">
            <div class="dist-mult">100 &times; 0.05<span class="var">x</span></div>
            <div class="dist-shift">Shift 2 decimals right &rarr;</div>
            <div class="dist-res">5<span class="var">x</span></div>
          </div>
          <div class="dist-card">
            <div class="dist-mult">100 &times; 20</div>
            <div class="dist-shift">Add 2 zeros &rarr;</div>
            <div class="dist-res">2,000</div>
          </div>
        </div>

        <div style="font-size:12px; color:#475569; font-weight:600; text-align:center;">
          100(0.3<span class="var">x</span> + 15) = 100(0.05<span class="var">x</span> + 20)
        </div>
      </div>

      
      <div class="step-panel" id="panel-2">
        <div class="badge success">✨ Decimals Completely Cleared!</div>
        
        <div class="compare-box">
          <div class="compare-row">
            <span class="compare-label">Original</span>
            <span class="compare-val math-expr" style="color:#64748b;">
              0.3<span class="var">x</span> + 15 = 0.05<span class="var">x</span> + 20
            </span>
          </div>

          <div class="compare-row new">
            <span class="compare-label">Cleared</span>
            <span class="compare-val math-expr" style="color:#15803d;">
              30<span class="var">x</span> + 1500 = 5<span class="var">x</span> + 2000
            </span>
          </div>
        </div>

        <div class="takeaway-pill" style="background:#f0fdf4; border-color:#86efac; color:#166534; margin-top:14px;">
          ✓ All coefficients are now integers — easy to solve!
        </div>
      </div>

      
      <div class="step-panel" id="panel-3">
        <div class="badge success">🎯 Balanced Solution Steps</div>
        
        <div class="solve-steps math-expr">
          <div class="solve-item">
            <span class="action-tag">&minus; 5<span class="var">x</span> both sides</span>
            <span style="font-weight:600;">25<span class="var">x</span> + 1500 = 2000</span>
          </div>
          <div class="solve-item">
            <span class="action-tag">&minus; 1500 both sides</span>
            <span style="font-weight:600;">25<span class="var">x</span> = 500</span>
          </div>
          <div class="solve-item">
            <span class="action-tag div-tag">&divide; 25 both sides</span>
            <span style="font-weight:600;"><span class="var">x</span> = 500 / 25</span>
          </div>
          <div class="solve-item final">
            <span style="font-size:12px; font-weight:700; color:#047857;">Final Solution:</span>
            <span class="final-val"><span class="var">x</span> = 20</span>
          </div>
        </div>
      </div>
    </div>

    
    <div class="controls">
      <button class="btn-ctrl" id="prevBtn" aria-label="Previous step">
        <span>&larr;</span> Back
      </button>
      
      <div class="dots" id="dotGroup">
        <div class="dot active" data-step="0" role="button" aria-label="Go to step 1"></div>
        <div class="dot" data-step="1" role="button" aria-label="Go to step 2"></div>
        <div class="dot" data-step="2" role="button" aria-label="Go to step 3"></div>
        <div class="dot" data-step="3" role="button" aria-label="Go to step 4"></div>
      </div>

      <button class="btn-ctrl" id="nextBtn" aria-label="Next step">
        Next <span>&rarr;</span>
      </button>
    </div>
  </div>

  <script>
    let currentStep = 0;
    const totalSteps = 4;

    const tabs = document.querySelectorAll('.tab-btn');
    const panels = document.querySelectorAll('.step-panel');
    const dots = document.querySelectorAll('.dot');
    const prevBtn = document.getElementById('prevBtn');
    const nextBtn = document.getElementById('nextBtn');

    function updateView() {
      tabs.forEach((tab, i) => {
        const isActive = i === currentStep;
        tab.classList.toggle('active', isActive);
        tab.setAttribute('aria-selected', isActive ? 'true' : 'false');
      });

      panels.forEach((panel, i) => {
        panel.classList.toggle('active', i === currentStep);
      });

      dots.forEach((dot, i) => {
        dot.classList.toggle('active', i === currentStep);
      });

      prevBtn.disabled = currentStep === 0;
      if (currentStep === totalSteps - 1) {
        nextBtn.innerHTML = 'Restart <span>&#8634;</span>';
      } else {
        nextBtn.innerHTML = 'Next <span>&rarr;</span>';
      }
    }

    function goTo(idx) {
      currentStep = (idx + totalSteps) % totalSteps;
      updateView();
    }

    tabs.forEach(tab => {
      tab.addEventListener('click', () => {
        goTo(parseInt(tab.dataset.step, 10));
      });
    });

    dots.forEach(dot => {
      dot.addEventListener('click', () => {
        goTo(parseInt(dot.dataset.step, 10));
      });
    });

    prevBtn.addEventListener('click', () => {
      if (currentStep > 0) goTo(currentStep - 1);
    });

    nextBtn.addEventListener('click', () => {
      if (currentStep === totalSteps - 1) {
        goTo(0);
      } else {
        goTo(currentStep + 1);
      }
    });

    // Keyboard navigation
    window.addEventListener('keydown', (e) => {
      if (e.key === 'ArrowRight') {
        nextBtn.click();
      } else if (e.key === 'ArrowLeft') {
        prevBtn.click();
      }
    });

    updateView();
  </script>
</body>
</html>

Solving Equations with Variables on Both Sides and Rational Coefficients

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <title>Visual Dual-Path Solution Comparison</title>
  <style>
    * { box-sizing: border-box; margin: 0; padding: 0; }
    
    body {
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      color: #0f172a;
      background: #ffffff;
      padding: 12px;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: space-between;
      min-height: 100vh;
      max-height: 580px;
    }

    /* Styled Fractions without external libraries */
    .frac {
      display: inline-flex;
      flex-direction: column;
      vertical-align: -0.45em;
      text-align: center;
      font-size: 0.9em;
      line-height: 1.1;
      padding: 0 2px;
    }
    .frac .num {
      border-bottom: 1.5px solid currentColor;
      padding: 0 1px 1px;
      font-size: 0.88em;
    }
    .frac .den {
      padding: 1px 1px 0;
      font-size: 0.88em;
    }

    .math-expr {
      font-family: "Cambria Math", "STIX Two Math", "DejaVu Math TeX Gyre", "Times New Roman", serif;
      font-size: 16px;
      letter-spacing: 0.3px;
      display: inline-flex;
      align-items: center;
      white-space: nowrap;
    }

    /* Equation Header */
    .header-box {
      width: 100%;
      max-width: 580px;
      background: #f1f5f9;
      border: 1.5px solid #cbd5e1;
      border-radius: 8px;
      padding: 8px 14px;
      text-align: center;
      box-shadow: 0 1px 3px rgba(0,0,0,0.04);
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 3px;
    }

    .header-subtitle {
      font-size: 11px;
      font-weight: 700;
      text-transform: uppercase;
      letter-spacing: 0.5px;
      color: #475569;
    }

    .header-box .math-expr {
      font-size: 18px;
      font-weight: 600;
      color: #0f172a;
    }

    /* Dual Path Columns */
    .paths-grid {
      display: grid;
      grid-template-columns: 1fr 1fr;
      gap: 10px;
      width: 100%;
      max-width: 580px;
      margin: 8px 0;
    }

    .path-col {
      display: flex;
      flex-direction: column;
      gap: 8px;
    }

    .path-title {
      font-size: 12px;
      font-weight: 700;
      text-align: center;
      padding: 5px 8px;
      border-radius: 6px;
      background: #eff6ff;
      color: #1d4ed8;
      border: 1.5px solid #93c5fd;
    }

    .path-title.alt {
      background: #faf5ff;
      color: #6b21a8;
      border: 1.5px solid #d8b4fe;
    }

    /* Step Cards */
    .step-card {
      background: #ffffff;
      border: 1.5px solid #cbd5e1;
      border-radius: 8px;
      padding: 6px 8px;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      min-height: 56px;
      opacity: 0.35;
      transition: opacity 0.3s ease, border-color 0.3s ease, background 0.3s ease, box-shadow 0.3s ease;
    }

    .step-card.active {
      opacity: 1;
      border-color: #2563eb;
      background: #f8fafc;
      box-shadow: 0 2px 8px rgba(37, 99, 235, 0.12);
    }

    .step-card.match {
      opacity: 1;
      border-color: #047857;
      background: #ecfdf5;
      box-shadow: 0 0 0 1.5px #047857;
    }

    .action-tag {
      font-size: 11px;
      font-weight: 700;
      color: #475569;
      margin-bottom: 3px;
      text-transform: uppercase;
      letter-spacing: 0.3px;
      text-align: center;
    }

    .step-card.match .action-tag {
      color: #047857;
    }

    .step-card .math-expr {
      font-size: 15px;
      color: #1e293b;
    }

    .step-card.match .math-expr {
      color: #064e3b;
      font-weight: 600;
    }

    /* Converged Target Container with High Contrast */
    .converge-card {
      width: 100%;
      max-width: 580px;
      background: #f8fafc;
      border: 2px solid #cbd5e1;
      border-radius: 8px;
      padding: 8px 16px;
      display: flex;
      align-items: center;
      justify-content: space-between;
      opacity: 0.35;
      transition: opacity 0.3s ease, border-color 0.3s ease, background 0.3s ease, box-shadow 0.3s ease;
      margin-bottom: 6px;
    }

    .converge-card.active {
      opacity: 1;
      border-color: #047857;
      background: #ecfdf5;
      box-shadow: 0 3px 10px rgba(4, 120, 87, 0.18);
    }

    .converge-label {
      font-size: 13px;
      font-weight: 800;
      color: #065f46;
      display: flex;
      align-items: center;
      gap: 6px;
    }

    .converge-card.active .converge-label {
      color: #064e3b;
    }

    .converge-val {
      font-size: 18px;
      font-weight: 700;
      color: #064e3b;
    }

    .converge-val .math-expr {
      font-size: 19px;
      font-weight: 700;
      color: #064e3b;
    }

    /* Controls */
    .controls {
      display: flex;
      align-items: center;
      justify-content: center;
      gap: 10px;
      width: 100%;
      max-width: 400px;
      padding-top: 4px;
    }

    .btn {
      background: #f1f5f9;
      border: 1.5px solid #94a3b8;
      color: #0f172a;
      padding: 6px 14px;
      border-radius: 6px;
      font-size: 13px;
      font-weight: 700;
      cursor: pointer;
      display: inline-flex;
      align-items: center;
      justify-content: center;
      user-select: none;
      transition: background 0.15s ease, border-color 0.15s ease;
    }

    .btn:hover {
      background: #e2e8f0;
      border-color: #64748b;
    }

    .btn.primary {
      background: #1d4ed8;
      border-color: #1d4ed8;
      color: #ffffff;
    }

    .btn.primary:hover {
      background: #1e40af;
    }

    .step-dots {
      display: flex;
      gap: 6px;
    }

    .dot-btn {
      width: 26px;
      height: 26px;
      border-radius: 50%;
      border: 1.5px solid #94a3b8;
      background: #f8fafc;
      color: #334155;
      font-size: 12px;
      font-weight: 700;
      display: flex;
      align-items: center;
      justify-content: center;
      cursor: pointer;
      transition: background 0.15s ease, border-color 0.15s ease, color 0.15s ease;
    }

    .dot-btn:hover {
      background: #e2e8f0;
    }

    .dot-btn.active {
      background: #1d4ed8;
      border-color: #1d4ed8;
      color: #ffffff;
    }

    .dot-btn.active-match {
      background: #047857;
      border-color: #047857;
      color: #ffffff;
    }

    /* Small Screen Responsiveness */
    @media (max-width: 440px) {
      body {
        padding: 8px 6px;
      }
      .path-title {
        font-size: 11px;
        padding: 4px 6px;
      }
      .action-tag {
        font-size: 10px;
      }
      .math-expr {
        font-size: 13px;
      }
      .header-box .math-expr {
        font-size: 15px;
      }
      .step-card {
        padding: 4px 6px;
        min-height: 50px;
      }
      .converge-card {
        padding: 6px 10px;
      }
      .converge-label {
        font-size: 11px;
      }
      .converge-val .math-expr {
        font-size: 16px;
      }
    }
  </style>
</head>
<body>

  
  <div class="header-box" id="eq-header">
    <span class="header-subtitle">Equation to Solve</span>
    <div class="math-expr">
      <span class="frac"><span class="num">3</span><span class="den">4</span></span>(<i>x</i> − 8) = <span class="frac"><span class="num">1</span><span class="den">2</span></span><i>x</i> + 1
    </div>
  </div>

  
  <div class="paths-grid">
    
    <div class="path-col">
      <div class="path-title">Path A: Distribute First</div>
      
      <div class="step-card" id="card-L1">
        <span class="action-tag">1. Distribute <sup>3</sup>/<sub>4</sub></span>
        <div class="math-expr">
          <span class="frac"><span class="num">3</span><span class="den">4</span></span><i>x</i> − 6 = <span class="frac"><span class="num">1</span><span class="den">2</span></span><i>x</i> + 1
        </div>
      </div>

      <div class="step-card" id="card-L2">
        <span class="action-tag">2. Clear Fractions (× 4)</span>
        <div class="math-expr">
          3<i>x</i> − 24 = 2<i>x</i> + 4
        </div>
      </div>
    </div>

    
    <div class="path-col">
      <div class="path-title alt">Path B: Clear LCD First</div>
      
      <div class="step-card" id="card-R1">
        <span class="action-tag">1. Multiply by LCD 4</span>
        <div class="math-expr">
          3(<i>x</i> − 8) = 2<i>x</i> + 4
        </div>
      </div>

      <div class="step-card" id="card-R2">
        <span class="action-tag">2. Distribute 3</span>
        <div class="math-expr">
          3<i>x</i> − 24 = 2<i>x</i> + 4
        </div>
      </div>
    </div>
  </div>

  
  <div class="converge-card" id="card-final">
    <div class="converge-label">
      <svg width="16" height="16" viewBox="0 0 20 20" fill="currentColor" aria-hidden="true" style="flex-shrink:0;">
        <path fill-rule="evenodd" d="M10 18a8 8 0 100-16 8 8 0 000 16zm3.707-9.293a1 1 0 00-1.414-1.414L9 10.586 7.707 9.293a1 1 0 00-1.414 1.414l2 2a1 1 0 001.414 0l4-4z" clip-rule="evenodd" />
      </svg>
      <span>Converged Target</span>
    </div>
    <div class="converge-val">
      <span class="math-expr"><i>x</i> = 28</span>
    </div>
  </div>

  
  <div class="controls">
    <button class="btn" id="prevBtn" aria-label="Previous Step">◀</button>
    <div class="step-dots" id="dotGroup">
      <button class="dot-btn" data-step="0" aria-label="Step 1">1</button>
      <button class="dot-btn" data-step="1" aria-label="Step 2">2</button>
      <button class="dot-btn" data-step="2" aria-label="Step 3">3</button>
      <button class="dot-btn" data-step="3" aria-label="Step 4">4</button>
    </div>
    <button class="btn" id="nextBtn" aria-label="Next Step">▶</button>
    <button class="btn primary" id="playBtn" aria-label="Play or Pause">⏸</button>
  </div>

  <script>
    let currentStep = 0;
    const totalSteps = 4;
    let isPlaying = true;
    let timer = null;

    const cards = {
      L1: document.getElementById('card-L1'),
      L2: document.getElementById('card-L2'),
      R1: document.getElementById('card-R1'),
      R2: document.getElementById('card-R2'),
      final: document.getElementById('card-final')
    };

    const dots = document.querySelectorAll('.dot-btn');

    function updateState(step) {
      currentStep = step;

      // Reset cards
      Object.values(cards).forEach(c => {
        c.classList.remove('active', 'match');
      });

      // Update dots
      dots.forEach((dot, idx) => {
        dot.classList.remove('active', 'active-match');
        if (idx === currentStep) {
          if (currentStep >= 2) dot.classList.add('active-match');
          else dot.classList.add('active');
        }
      });

      // Step logic
      if (currentStep === 0) {
        cards.L1.classList.add('active');
        cards.R1.classList.add('active');
      } else if (currentStep === 1) {
        cards.L1.classList.add('active');
        cards.R1.classList.add('active');
        cards.L2.classList.add('active');
        cards.R2.classList.add('active');
      } else if (currentStep === 2) {
        cards.L1.classList.add('active');
        cards.R1.classList.add('active');
        cards.L2.classList.add('match');
        cards.R2.classList.add('match');
      } else if (currentStep === 3) {
        cards.L1.classList.add('active');
        cards.R1.classList.add('active');
        cards.L2.classList.add('match');
        cards.R2.classList.add('match');
        cards.final.classList.add('active');
      }
    }

    function nextStep() {
      currentStep = (currentStep + 1) % totalSteps;
      updateState(currentStep);
    }

    function prevStep() {
      currentStep = (currentStep - 1 + totalSteps) % totalSteps;
      updateState(currentStep);
    }

    function startAuto() {
      stopAuto();
      isPlaying = true;
      document.getElementById('playBtn').textContent = '⏸';
      timer = setInterval(nextStep, 3200);
    }

    function stopAuto() {
      isPlaying = false;
      document.getElementById('playBtn').textContent = '▶';
      if (timer) clearInterval(timer);
    }

    // Attach listeners
    document.getElementById('nextBtn').addEventListener('click', () => {
      stopAuto();
      nextStep();
    });

    document.getElementById('prevBtn').addEventListener('click', () => {
      stopAuto();
      prevStep();
    });

    document.getElementById('playBtn').addEventListener('click', () => {
      if (isPlaying) stopAuto();
      else startAuto();
    });

    dots.forEach((dot) => {
      dot.addEventListener('click', () => {
        stopAuto();
        const step = parseInt(dot.getAttribute('data-step'), 10);
        updateState(step);
      });
    });

    // Initialize
    updateState(0);
    startAuto();
  </script>
</body>
</html>

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <style>
    * {
      box-sizing: border-box;
      margin: 0;
      padding: 0;
      font-family: system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, sans-serif;
    }

    body {
      background-color: #f8fafc;
      color: #1e293b;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      min-height: 100%;
      padding: 12px;
    }

    .main-flow {
      width: 100%;
      max-width: 580px;
      display: flex;
      flex-direction: column;
      gap: 10px;
    }

    .step-card {
      background: #ffffff;
      border: 1.5px solid #e2e8f0;
      border-radius: 12px;
      padding: 12px 14px;
      display: flex;
      flex-direction: column;
      gap: 8px;
      transition: border-color 0.3s ease, box-shadow 0.3s ease;
      cursor: pointer;
    }

    .step-card.active {
      border-color: #2563eb;
      box-shadow: 0 4px 12px rgba(37, 99, 235, 0.08);
    }

    .card-header {
      display: flex;
      align-items: center;
      justify-content: space-between;
    }

    .step-tag {
      font-size: 11px;
      font-weight: 700;
      text-transform: uppercase;
      letter-spacing: 0.5px;
      color: #64748b;
      display: flex;
      align-items: center;
      gap: 6px;
    }

    .step-badge {
      display: inline-flex;
      align-items: center;
      justify-content: center;
      width: 18px;
      height: 18px;
      border-radius: 50%;
      background: #f1f5f9;
      color: #475569;
      font-size: 11px;
      font-weight: 700;
    }

    .step-card.active .step-badge {
      background: #2563eb;
      color: #ffffff;
    }

    .lcd-pill {
      font-size: 12px;
      font-weight: 700;
      background: #eff6ff;
      color: #2563eb;
      border: 1px solid #bfdbfe;
      border-radius: 999px;
      padding: 2px 10px;
    }

    .math-row {
      display: flex;
      align-items: center;
      justify-content: center;
      gap: 6px;
      font-size: 19px;
      font-weight: 600;
      color: #1e293b;
      min-height: 42px;
      flex-wrap: wrap;
    }

    /* Math fraction rendering */
    .frac {
      display: inline-flex;
      flex-direction: column;
      vertical-align: middle;
      text-align: center;
      font-size: 16px;
      line-height: 1;
      padding: 0 2px;
    }

    .num {
      padding-bottom: 2px;
      border-bottom: 2px solid currentColor;
    }

    .den {
      padding-top: 2px;
    }

    /* Highlight Accents */
    .den-highlight {
      color: #2563eb;
      font-weight: 800;
      position: relative;
    }

    .den-highlight::after {
      content: '';
      position: absolute;
      bottom: -2px;
      left: -2px;
      right: -2px;
      height: 3px;
      background: #2563eb;
      border-radius: 2px;
    }

    .mult-factor {
      color: #2563eb;
      font-weight: 800;
      background: #eff6ff;
      border: 1px solid #dbeafe;
      border-radius: 6px;
      padding: 2px 6px;
      font-size: 16px;
    }

    .term-box {
      display: inline-flex;
      align-items: center;
      gap: 2px;
      padding: 2px 4px;
      border-radius: 6px;
      background: #f8fafc;
    }

    .result-text {
      color: #10b981;
      font-weight: 800;
    }

    .arrow-divider {
      display: flex;
      justify-content: center;
      align-items: center;
      color: #94a3b8;
      font-size: 14px;
      margin: -4px 0;
    }

    /* Controls bar */
    .controls {
      display: flex;
      align-items: center;
      justify-content: center;
      gap: 12px;
      margin-top: 8px;
    }

    .btn-step {
      background: #ffffff;
      border: 1.5px solid #cbd5e1;
      color: #334155;
      padding: 6px 14px;
      border-radius: 8px;
      font-size: 13px;
      font-weight: 600;
      cursor: pointer;
      display: flex;
      align-items: center;
      gap: 6px;
      transition: background 0.2s, border-color 0.2s;
    }

    .btn-step:hover {
      background: #f1f5f9;
      border-color: #94a3b8;
    }

    .dots {
      display: flex;
      gap: 6px;
    }

    .dot {
      width: 8px;
      height: 8px;
      border-radius: 50%;
      background: #cbd5e1;
      cursor: pointer;
      transition: background 0.2s, transform 0.2s;
    }

    .dot.active {
      background: #2563eb;
      transform: scale(1.25);
    }
  </style>
</head>
<body>

  <div class="main-flow">
    
    <div class="step-card active" id="card1" onclick="setStep(0)">
      <div class="card-header">
        <div class="step-tag">
          <span class="step-badge">1</span>
          Find LCD
        </div>
        <div class="lcd-pill">LCD(3, 6) = 6</div>
      </div>
      <div class="math-row">
        <div class="frac"><span class="num">2</span><span class="den den-highlight">3</span></div>
        <span>x</span>
        <span>−</span>
        <span>4</span>
        <span>=</span>
        <div class="frac"><span class="num">1</span><span class="den den-highlight">6</span></div>
        <span>x</span>
        <span>+</span>
        <span>2</span>
      </div>
    </div>

    <div class="arrow-divider">↓</div>

    
    <div class="step-card" id="card2" onclick="setStep(1)">
      <div class="card-header">
        <div class="step-tag">
          <span class="step-badge">2</span>
          Multiply Every Term by 6
        </div>
      </div>
      <div class="math-row">
        <span class="term-box"><span class="mult-factor">6</span> · <span class="frac"><span class="num">2</span><span class="den">3</span></span>x</span>
        <span>−</span>
        <span class="term-box"><span class="mult-factor">6</span> · 4</span>
        <span>=</span>
        <span class="term-box"><span class="mult-factor">6</span> · <span class="frac"><span class="num">1</span><span class="den">6</span></span>x</span>
        <span>+</span>
        <span class="term-box"><span class="mult-factor">6</span> · 2</span>
      </div>
    </div>

    <div class="arrow-divider">↓</div>

    
    <div class="step-card" id="card3" onclick="setStep(2)">
      <div class="card-header">
        <div class="step-tag">
          <span class="step-badge">3</span>
          Cleared Fractions
        </div>
      </div>
      <div class="math-row">
        <span class="result-text">4x</span>
        <span>−</span>
        <span class="result-text">24</span>
        <span>=</span>
        <span class="result-text">x</span>
        <span>+</span>
        <span class="result-text">12</span>
      </div>
    </div>

    
    <div class="controls">
      <button class="btn-step" id="prevBtn" onclick="prevStep()">← Prev</button>
      <div class="dots">
        <div class="dot active" onclick="setStep(0)"></div>
        <div class="dot" onclick="setStep(1)"></div>
        <div class="dot" onclick="setStep(2)"></div>
      </div>
      <button class="btn-step" id="nextBtn" onclick="nextStep()">Next →</button>
    </div>
  </div>

  <script>
    let currentStep = 0;
    const cards = [document.getElementById('card1'), document.getElementById('card2'), document.getElementById('card3')];
    const dots = document.querySelectorAll('.dot');
    let autoInterval = null;

    function setStep(index) {
      currentStep = index;
      cards.forEach((c, i) => {
        c.classList.toggle('active', i === currentStep);
      });
      dots.forEach((d, i) => {
        d.classList.toggle('active', i === currentStep);
      });
    }

    function nextStep() {
      setStep((currentStep + 1) % 3);
      resetAuto();
    }

    function prevStep() {
      setStep((currentStep - 1 + 3) % 3);
      resetAuto();
    }

    function resetAuto() {
      if (autoInterval) clearInterval(autoInterval);
      autoInterval = setInterval(() => {
        setStep((currentStep + 1) % 3);
      }, 4000);
    }

    resetAuto();
  </script>
</body>
</html>

OGM.9.ALG.3

Aligned learning resources

Related diagrams