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Simplifying 4[x + 1] = 3[x + 2] Reorder the terms: 4[1 + x] = 3[x + 2] [1 * 4 + x * 4] = 3[x + 2] [4 + 4x] = 3[x + 2] Reorder the terms: 4 + 4x = 3[2 + x] 4 + 4x = [2 * 3 + x * 3] 4 + 4x = [6 + 3x] Solving 4 + 4x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 4x + -3x = 6 + 3x + -3x Combine like terms: 4x + -3x = 1x 4 + 1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 1x = 6 + 0 4 + 1x = 6 Add '-4' to each side of the equation. 4 + -4 + 1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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