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Simplifying 12x + -2[3(x + 1) + -2(x + -1)] = 2(x + 3) Reorder the terms: 12x + -2[3(1 + x) + -2(x + -1)] = 2(x + 3) 12x + -2[(1 * 3 + x * 3) + -2(x + -1)] = 2(x + 3) 12x + -2[(3 + 3x) + -2(x + -1)] = 2(x + 3) Reorder the terms: 12x + -2[3 + 3x + -2(-1 + x)] = 2(x + 3) 12x + -2[3 + 3x + (-1 * -2 + x * -2)] = 2(x + 3) 12x + -2[3 + 3x + (2 + -2x)] = 2(x + 3) Reorder the terms: 12x + -2[3 + 2 + 3x + -2x] = 2(x + 3) Combine like terms: 3 + 2 = 5 12x + -2[5 + 3x + -2x] = 2(x + 3) Combine like terms: 3x + -2x = 1x 12x + -2[5 + 1x] = 2(x + 3) 12x + [5 * -2 + 1x * -2] = 2(x + 3) 12x + [-10 + -2x] = 2(x + 3) Reorder the terms: -10 + 12x + -2x = 2(x + 3) Combine like terms: 12x + -2x = 10x -10 + 10x = 2(x + 3) Reorder the terms: -10 + 10x = 2(3 + x) -10 + 10x = (3 * 2 + x * 2) -10 + 10x = (6 + 2x) Solving -10 + 10x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 10x + -2x = 6 + 2x + -2x Combine like terms: 10x + -2x = 8x -10 + 8x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 8x = 6 + 0 -10 + 8x = 6 Add '10' to each side of the equation. -10 + 10 + 8x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 6 + 10 8x = 6 + 10 Combine like terms: 6 + 10 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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