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Simplifying -3[5 + -4(x + -2)] = 5(x + -5) Reorder the terms: -3[5 + -4(-2 + x)] = 5(x + -5) -3[5 + (-2 * -4 + x * -4)] = 5(x + -5) -3[5 + (8 + -4x)] = 5(x + -5) Combine like terms: 5 + 8 = 13 -3[13 + -4x] = 5(x + -5) [13 * -3 + -4x * -3] = 5(x + -5) [-39 + 12x] = 5(x + -5) Reorder the terms: -39 + 12x = 5(-5 + x) -39 + 12x = (-5 * 5 + x * 5) -39 + 12x = (-25 + 5x) Solving -39 + 12x = -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. -39 + 12x + -5x = -25 + 5x + -5x Combine like terms: 12x + -5x = 7x -39 + 7x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -39 + 7x = -25 + 0 -39 + 7x = -25 Add '39' to each side of the equation. -39 + 39 + 7x = -25 + 39 Combine like terms: -39 + 39 = 0 0 + 7x = -25 + 39 7x = -25 + 39 Combine like terms: -25 + 39 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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