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Simplifying 5(x + -6) + -2[3x + -1(5x + 12) + 10] = 8(2x + -5) Reorder the terms: 5(-6 + x) + -2[3x + -1(5x + 12) + 10] = 8(2x + -5) (-6 * 5 + x * 5) + -2[3x + -1(5x + 12) + 10] = 8(2x + -5) (-30 + 5x) + -2[3x + -1(5x + 12) + 10] = 8(2x + -5) Reorder the terms: -30 + 5x + -2[3x + -1(12 + 5x) + 10] = 8(2x + -5) -30 + 5x + -2[3x + (12 * -1 + 5x * -1) + 10] = 8(2x + -5) -30 + 5x + -2[3x + (-12 + -5x) + 10] = 8(2x + -5) Reorder the terms: -30 + 5x + -2[-12 + 10 + 3x + -5x] = 8(2x + -5) Combine like terms: -12 + 10 = -2 -30 + 5x + -2[-2 + 3x + -5x] = 8(2x + -5) Combine like terms: 3x + -5x = -2x -30 + 5x + -2[-2 + -2x] = 8(2x + -5) -30 + 5x + [-2 * -2 + -2x * -2] = 8(2x + -5) -30 + 5x + [4 + 4x] = 8(2x + -5) Reorder the terms: -30 + 4 + 5x + 4x = 8(2x + -5) Combine like terms: -30 + 4 = -26 -26 + 5x + 4x = 8(2x + -5) Combine like terms: 5x + 4x = 9x -26 + 9x = 8(2x + -5) Reorder the terms: -26 + 9x = 8(-5 + 2x) -26 + 9x = (-5 * 8 + 2x * 8) -26 + 9x = (-40 + 16x) Solving -26 + 9x = -40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -26 + 9x + -16x = -40 + 16x + -16x Combine like terms: 9x + -16x = -7x -26 + -7x = -40 + 16x + -16x Combine like terms: 16x + -16x = 0 -26 + -7x = -40 + 0 -26 + -7x = -40 Add '26' to each side of the equation. -26 + 26 + -7x = -40 + 26 Combine like terms: -26 + 26 = 0 0 + -7x = -40 + 26 -7x = -40 + 26 Combine like terms: -40 + 26 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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