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Simplifying 2[2x + -1(3x + -2)] = 3(x + -2) Reorder the terms: 2[2x + -1(-2 + 3x)] = 3(x + -2) 2[2x + (-2 * -1 + 3x * -1)] = 3(x + -2) 2[2x + (2 + -3x)] = 3(x + -2) Reorder the terms: 2[2 + 2x + -3x] = 3(x + -2) Combine like terms: 2x + -3x = -1x 2[2 + -1x] = 3(x + -2) [2 * 2 + -1x * 2] = 3(x + -2) [4 + -2x] = 3(x + -2) Reorder the terms: 4 + -2x = 3(-2 + x) 4 + -2x = (-2 * 3 + x * 3) 4 + -2x = (-6 + 3x) Solving 4 + -2x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -2x + -3x = -6 + 3x + -3x Combine like terms: -2x + -3x = -5x 4 + -5x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -5x = -6 + 0 4 + -5x = -6 Add '-4' to each side of the equation. 4 + -4 + -5x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -6 + -4 -5x = -6 + -4 Combine like terms: -6 + -4 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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