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Simplifying 5 + -1[x + (3 + -2x)] = 2[x + -3(x + -2)] Remove parenthesis around (3 + -2x) 5 + -1[x + 3 + -2x] = 2[x + -3(x + -2)] Reorder the terms: 5 + -1[3 + x + -2x] = 2[x + -3(x + -2)] Combine like terms: x + -2x = -1x 5 + -1[3 + -1x] = 2[x + -3(x + -2)] 5 + [3 * -1 + -1x * -1] = 2[x + -3(x + -2)] 5 + [-3 + 1x] = 2[x + -3(x + -2)] Combine like terms: 5 + -3 = 2 2 + 1x = 2[x + -3(x + -2)] Reorder the terms: 2 + 1x = 2[x + -3(-2 + x)] 2 + 1x = 2[x + (-2 * -3 + x * -3)] 2 + 1x = 2[x + (6 + -3x)] Reorder the terms: 2 + 1x = 2[6 + x + -3x] Combine like terms: x + -3x = -2x 2 + 1x = 2[6 + -2x] 2 + 1x = [6 * 2 + -2x * 2] 2 + 1x = [12 + -4x] Solving 2 + 1x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + 1x + 4x = 12 + -4x + 4x Combine like terms: 1x + 4x = 5x 2 + 5x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 5x = 12 + 0 2 + 5x = 12 Add '-2' to each side of the equation. 2 + -2 + 5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 12 + -2 5x = 12 + -2 Combine like terms: 12 + -2 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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