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Simplifying 2(3x) = [0.5(x + 3 + 12) * 2] Remove parenthesis around (3x) 2 * 3x = [0.5(x + 3 + 12) * 2] Multiply 2 * 3 6x = [0.5(x + 3 + 12) * 2] Reorder the terms: 6x = [0.5(3 + 12 + x) * 2] Combine like terms: 3 + 12 = 15 6x = [0.5(15 + x) * 2] Reorder the terms for easier multiplication: 6x = [0.5 * 2(15 + x)] Multiply 0.5 * 2 6x = [1(15 + x)] 6x = [(15 * 1 + x * 1)] 6x = [(15 + 1x)] 6x = [15 + 1x] Remove brackets around [15 + 1x] 6x = 15 + 1x Solving 6x = 15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6x + -1x = 15 + 1x + -1x Combine like terms: 6x + -1x = 5x 5x = 15 + 1x + -1x Combine like terms: 1x + -1x = 0 5x = 15 + 0 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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