Adding: \( 2x = 64 \) → \( x = 32 \).

["# Solving ( 2x = 64 ): Step-by-Step Guide to Find ( x = 32 )", "Mathematics often involves solving simple equations to uncover unknown values. One common equation students encounter is ( 2x = 64 ). Knowing how to solve this equation is essential for building foundational algebra skills. In this article, we’ll explain step-by-step how to add (or manipulate) the equation to find ( x = 32 ), making it easy to understand and apply.", "## Understanding the Equation ( 2x = 64 )", "The equation ( 2x = 64 ) means that twice the value of ( x ) equals 64. To isolate ( x ) and find its value, we need to "undo" the multiplication by 2. This involves dividing both sides of the equation by 2.", "## Step 1: Start with the Original Equation", "Begin with:\n[\n2x = 64\n]", "Here, ( x ) is multiplied by 2, so we isolate ( x ) by dividing both sides by 2:\n[\n\frac{2x}{2} = \frac{64}{2}\n]", "## Step 2: Simplify Both Sides", "Dividing by 2 on the left simplifies ( 2x ) to just ( x ):\n[\nx = \frac{64}{2}\n]", "Now calculate ( 64 \div 2 ):\n[\nx = 32\n]", "## Step 3: Final Result", "Thus, solving ( 2x = 64 ) gives:\n[\nx = 32\n]", "## Why This Matters", "Solving linear equations like ( 2x = 64 ) is a core skill in algebra. It teaches students how to manipulate equations safely, preserving equality by applying the same operation on both sides. Once mastered, this technique supports solving more complex equations involving variables on both sides, coefficients, and coefficients combined with constants.", "## Practice Tip: Check Your Work", "To ensure correctness, substitute ( x = 32 ) back into the original equation:\n[\n2 \cdot 32 = 64\n]\n[\n64 = 64 \quad \ ext{(True)}\n]", "Your solution is correct!", "## Summary", "- Start with: ( 2x = 64 )\n- Divide both sides by 2\n- Solve for ( x ): ( x = 32 )\n- Verify: ( 2 \cdot 32 = 64 )", "Mastering such straightforward equations strengthens algebraic reasoning and paves the way for tackling advanced math with confidence.", "---", "Keywords for SEO:\nsolving 2x = 64, how to solve 2x = 64, linear equations step by step, algebra basics, divide both sides equation, find x value, math problems with solutions, step-by-step equation solving", "Meta Description:\nLearn how to solve ( 2x = 64 ) step-by-step. Discover how dividing both sides by 2 gives ( x = 32 ), with full calculation and verification. Perfect for students mastering algebra fundamentals."]