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Simplifying -1[5x + -1(2x + 3)] = -4 + -1[4(2x + -3) + -3x] Reorder the terms: -1[5x + -1(3 + 2x)] = -4 + -1[4(2x + -3) + -3x] -1[5x + (3 * -1 + 2x * -1)] = -4 + -1[4(2x + -3) + -3x] -1[5x + (-3 + -2x)] = -4 + -1[4(2x + -3) + -3x] Reorder the terms: -1[-3 + 5x + -2x] = -4 + -1[4(2x + -3) + -3x] Combine like terms: 5x + -2x = 3x -1[-3 + 3x] = -4 + -1[4(2x + -3) + -3x] [-3 * -1 + 3x * -1] = -4 + -1[4(2x + -3) + -3x] [3 + -3x] = -4 + -1[4(2x + -3) + -3x] Reorder the terms: 3 + -3x = -4 + -1[4(-3 + 2x) + -3x] 3 + -3x = -4 + -1[(-3 * 4 + 2x * 4) + -3x] 3 + -3x = -4 + -1[(-12 + 8x) + -3x] Combine like terms: 8x + -3x = 5x 3 + -3x = -4 + -1[-12 + 5x] 3 + -3x = -4 + [-12 * -1 + 5x * -1] 3 + -3x = -4 + [12 + -5x] Combine like terms: -4 + 12 = 8 3 + -3x = 8 + -5x Solving 3 + -3x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + -3x + 5x = 8 + -5x + 5x Combine like terms: -3x + 5x = 2x 3 + 2x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 2x = 8 + 0 3 + 2x = 8 Add '-3' to each side of the equation. 3 + -3 + 2x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 8 + -3 2x = 8 + -3 Combine like terms: 8 + -3 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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