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Simplifying -3[(x + -2) + 5(x + -2)] = 0 Reorder the terms: -3[(-2 + x) + 5(x + -2)] = 0 Remove parenthesis around (-2 + x) -3[-2 + x + 5(x + -2)] = 0 Reorder the terms: -3[-2 + x + 5(-2 + x)] = 0 -3[-2 + x + (-2 * 5 + x * 5)] = 0 -3[-2 + x + (-10 + 5x)] = 0 Reorder the terms: -3[-2 + -10 + x + 5x] = 0 Combine like terms: -2 + -10 = -12 -3[-12 + x + 5x] = 0 Combine like terms: x + 5x = 6x -3[-12 + 6x] = 0 [-12 * -3 + 6x * -3] = 0 [36 + -18x] = 0 Solving 36 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -18x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -18x = 0 + -36 -18x = 0 + -36 Combine like terms: 0 + -36 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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