Given \( 8x = 64 \), solving for \( x \) gives:

["SEO-Optimized Article: Solving ( 8x = 64 ) – Step-by-Step Guide", "If you're looking to solve the equation ( 8x = 64 ), you're not just learning algebra — you're mastering a fundamental skill that's essential in math, science, and everyday problem-solving. In this comprehensive guide, we break down how to solve for ( x ), explain the logic behind it, and show why understanding this process matters.", "---", "### Understanding the Equation: ( 8x = 64 )", "The equation ( 8x = 64 ) is a linear equation in which the variable ( x ) is multiplied by 8. Our goal is to isolate ( x ) and find its exact value.", "---", "### Step-by-Step Solution", "Step 1: Identify the goal\nTo solve for ( x ), we need ( x ) alone on one side of the equation. Currently, ( x ) is multiplied by 8.", "Step 2: Apply the division property of equality\nTo undo multiplication by 8, divide both sides of the equation by 8:", "[\n\frac{8x}{8} = \frac{64}{8}\n]", "Step 3: Simplify\nOn the left, ( 8x \div 8 = x ), and on the right:", "[\nx = 8\n]", "---", "### Verified Result", "Plugging ( x = 8 ) back into the original equation:", "[\n8 \cdot 8 = 64\n]", "This confirms the solution is correct.", "---", "### Why Solving Linear Equations Like This Matters", "Solving equations like ( 8x = 64 ) is foundational in algebra, paving the way for more complex mathematics such as systems of equations, quadratic equations, and real-world applications in physics, engineering, finance, and computer science.", "---", "### Tips for Mastering Equation Solving", "- Use inverse operations: Always isolate the variable by applying inverse operations (addition/division when subtraction/multiplication is involved).\n- Keep both sides balanced: Whatever operation you perform on one side must be done on the other.\n- Check your work: Substitute the solution back into the original equation to verify accuracy.", "---", "### Final Answer", "[\n\boxed{x = 8}\n]", "---", "Keywords for SEO Optimization:\n- Solve ( 8x = 64 ) step-by-step\n- How to solve linear equations\n- Algebra basics: solving for x\n- Step-by-step equation solving\n- Math practice for students", "Meta Description:\nLearn how to solve ( 8x = 64 ) with a clear, step-by-step explanation. This essential algebraic technique helps build problem-solving skills used across STEM fields.", "---", "By understanding and applying the simple yet powerful method behind ( 8x = 64 ), you strengthen your mathematical foundation and prepare yourself for more advanced concepts with confidence."]