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Simplifying 2[3x + -1(4x + -6)] = 5(x + 5) Reorder the terms: 2[3x + -1(-6 + 4x)] = 5(x + 5) 2[3x + (-6 * -1 + 4x * -1)] = 5(x + 5) 2[3x + (6 + -4x)] = 5(x + 5) Reorder the terms: 2[6 + 3x + -4x] = 5(x + 5) Combine like terms: 3x + -4x = -1x 2[6 + -1x] = 5(x + 5) [6 * 2 + -1x * 2] = 5(x + 5) [12 + -2x] = 5(x + 5) Reorder the terms: 12 + -2x = 5(5 + x) 12 + -2x = (5 * 5 + x * 5) 12 + -2x = (25 + 5x) Solving 12 + -2x = 25 + 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. 12 + -2x + -5x = 25 + 5x + -5x Combine like terms: -2x + -5x = -7x 12 + -7x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -7x = 25 + 0 12 + -7x = 25 Add '-12' to each side of the equation. 12 + -12 + -7x = 25 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 25 + -12 -7x = 25 + -12 Combine like terms: 25 + -12 = 13 -7x = 13 Divide each side by '-7'. x = -1.857142857 Simplifying x = -1.857142857
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