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Simplifying -2[3 + -2(x + -1) + 5(2 + -1x)] = -3[x + 2(x + -1)] Reorder the terms: -2[3 + -2(-1 + x) + 5(2 + -1x)] = -3[x + 2(x + -1)] -2[3 + (-1 * -2 + x * -2) + 5(2 + -1x)] = -3[x + 2(x + -1)] -2[3 + (2 + -2x) + 5(2 + -1x)] = -3[x + 2(x + -1)] -2[3 + 2 + -2x + (2 * 5 + -1x * 5)] = -3[x + 2(x + -1)] -2[3 + 2 + -2x + (10 + -5x)] = -3[x + 2(x + -1)] Reorder the terms: -2[3 + 2 + 10 + -2x + -5x] = -3[x + 2(x + -1)] Combine like terms: 3 + 2 = 5 -2[5 + 10 + -2x + -5x] = -3[x + 2(x + -1)] Combine like terms: 5 + 10 = 15 -2[15 + -2x + -5x] = -3[x + 2(x + -1)] Combine like terms: -2x + -5x = -7x -2[15 + -7x] = -3[x + 2(x + -1)] [15 * -2 + -7x * -2] = -3[x + 2(x + -1)] [-30 + 14x] = -3[x + 2(x + -1)] Reorder the terms: -30 + 14x = -3[x + 2(-1 + x)] -30 + 14x = -3[x + (-1 * 2 + x * 2)] -30 + 14x = -3[x + (-2 + 2x)] Reorder the terms: -30 + 14x = -3[-2 + x + 2x] Combine like terms: x + 2x = 3x -30 + 14x = -3[-2 + 3x] -30 + 14x = [-2 * -3 + 3x * -3] -30 + 14x = [6 + -9x] Solving -30 + 14x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -30 + 14x + 9x = 6 + -9x + 9x Combine like terms: 14x + 9x = 23x -30 + 23x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -30 + 23x = 6 + 0 -30 + 23x = 6 Add '30' to each side of the equation. -30 + 30 + 23x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 23x = 6 + 30 23x = 6 + 30 Combine like terms: 6 + 30 = 36 23x = 36 Divide each side by '23'. x = 1.565217391 Simplifying x = 1.565217391
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