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