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