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Simplifying -3(x + -2) = 2[x + -4(x + -2) + 4] Reorder the terms: -3(-2 + x) = 2[x + -4(x + -2) + 4] (-2 * -3 + x * -3) = 2[x + -4(x + -2) + 4] (6 + -3x) = 2[x + -4(x + -2) + 4] Reorder the terms: 6 + -3x = 2[x + -4(-2 + x) + 4] 6 + -3x = 2[x + (-2 * -4 + x * -4) + 4] 6 + -3x = 2[x + (8 + -4x) + 4] Reorder the terms: 6 + -3x = 2[8 + 4 + x + -4x] Combine like terms: 8 + 4 = 12 6 + -3x = 2[12 + x + -4x] Combine like terms: x + -4x = -3x 6 + -3x = 2[12 + -3x] 6 + -3x = [12 * 2 + -3x * 2] 6 + -3x = [24 + -6x] Solving 6 + -3x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + -3x + 6x = 24 + -6x + 6x Combine like terms: -3x + 6x = 3x 6 + 3x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 3x = 24 + 0 6 + 3x = 24 Add '-6' to each side of the equation. 6 + -6 + 3x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 24 + -6 3x = 24 + -6 Combine like terms: 24 + -6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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