This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
Step 1: Distribute the numbers on both sides of the equation.
Step 2: Collect all terms with on one side and constant terms on the other side. Subtract from both sides: Add to both sides:
Step 3: Solve for . Divide both sides by :
The final answer is .
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Distribute the numbers on both sides of the equation. (3)/(2)(2x-4) = 4(5x-3) ((3)/(2) × 2x) - ((3)/(2) × 4) = (4 × 5x) - (4 × 3) 3x - 6 = 20x - 12 Step 2: Collect all terms with x on one side and constant terms on the other side.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.