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Simplifying -1[8x + -1(3x + 2)] = 5 + -1[3(3x + -4) + -2x] Reorder the terms: -1[8x + -1(2 + 3x)] = 5 + -1[3(3x + -4) + -2x] -1[8x + (2 * -1 + 3x * -1)] = 5 + -1[3(3x + -4) + -2x] -1[8x + (-2 + -3x)] = 5 + -1[3(3x + -4) + -2x] Reorder the terms: -1[-2 + 8x + -3x] = 5 + -1[3(3x + -4) + -2x] Combine like terms: 8x + -3x = 5x -1[-2 + 5x] = 5 + -1[3(3x + -4) + -2x] [-2 * -1 + 5x * -1] = 5 + -1[3(3x + -4) + -2x] [2 + -5x] = 5 + -1[3(3x + -4) + -2x] Reorder the terms: 2 + -5x = 5 + -1[3(-4 + 3x) + -2x] 2 + -5x = 5 + -1[(-4 * 3 + 3x * 3) + -2x] 2 + -5x = 5 + -1[(-12 + 9x) + -2x] Combine like terms: 9x + -2x = 7x 2 + -5x = 5 + -1[-12 + 7x] 2 + -5x = 5 + [-12 * -1 + 7x * -1] 2 + -5x = 5 + [12 + -7x] Combine like terms: 5 + 12 = 17 2 + -5x = 17 + -7x Solving 2 + -5x = 17 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2 + -5x + 7x = 17 + -7x + 7x Combine like terms: -5x + 7x = 2x 2 + 2x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + 2x = 17 + 0 2 + 2x = 17 Add '-2' to each side of the equation. 2 + -2 + 2x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 17 + -2 2x = 17 + -2 Combine like terms: 17 + -2 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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