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Simplifying 3[x + 2] + -2[x + 1] = 8 Reorder the terms: 3[2 + x] + -2[x + 1] = 8 [2 * 3 + x * 3] + -2[x + 1] = 8 [6 + 3x] + -2[x + 1] = 8 Reorder the terms: 6 + 3x + -2[1 + x] = 8 6 + 3x + [1 * -2 + x * -2] = 8 6 + 3x + [-2 + -2x] = 8 Reorder the terms: 6 + -2 + 3x + -2x = 8 Combine like terms: 6 + -2 = 4 4 + 3x + -2x = 8 Combine like terms: 3x + -2x = 1x 4 + 1x = 8 Solving 4 + 1x = 8 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 + 1x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 8 + -4 1x = 8 + -4 Combine like terms: 8 + -4 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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