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Simplifying 2[-2(x + -4) + 5(x + -2)] = 0 Reorder the terms: 2[-2(-4 + x) + 5(x + -2)] = 0 2[(-4 * -2 + x * -2) + 5(x + -2)] = 0 2[(8 + -2x) + 5(x + -2)] = 0 Reorder the terms: 2[8 + -2x + 5(-2 + x)] = 0 2[8 + -2x + (-2 * 5 + x * 5)] = 0 2[8 + -2x + (-10 + 5x)] = 0 Reorder the terms: 2[8 + -10 + -2x + 5x] = 0 Combine like terms: 8 + -10 = -2 2[-2 + -2x + 5x] = 0 Combine like terms: -2x + 5x = 3x 2[-2 + 3x] = 0 [-2 * 2 + 3x * 2] = 0 [-4 + 6x] = 0 Solving -4 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 0 + 4 6x = 0 + 4 Combine like terms: 0 + 4 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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