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Simplifying 2[3x + -4(4x + -6)] = 5(x + -6) Reorder the terms: 2[3x + -4(-6 + 4x)] = 5(x + -6) 2[3x + (-6 * -4 + 4x * -4)] = 5(x + -6) 2[3x + (24 + -16x)] = 5(x + -6) Reorder the terms: 2[24 + 3x + -16x] = 5(x + -6) Combine like terms: 3x + -16x = -13x 2[24 + -13x] = 5(x + -6) [24 * 2 + -13x * 2] = 5(x + -6) [48 + -26x] = 5(x + -6) Reorder the terms: 48 + -26x = 5(-6 + x) 48 + -26x = (-6 * 5 + x * 5) 48 + -26x = (-30 + 5x) Solving 48 + -26x = -30 + 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. 48 + -26x + -5x = -30 + 5x + -5x Combine like terms: -26x + -5x = -31x 48 + -31x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + -31x = -30 + 0 48 + -31x = -30 Add '-48' to each side of the equation. 48 + -48 + -31x = -30 + -48 Combine like terms: 48 + -48 = 0 0 + -31x = -30 + -48 -31x = -30 + -48 Combine like terms: -30 + -48 = -78 -31x = -78 Divide each side by '-31'. x = 2.516129032 Simplifying x = 2.516129032
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