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