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Simplifying 3[(2x) + 1] = 2[x + 4] Reorder the terms: 3[1 + (2x)] = 2[x + 4] [1 * 3 + (2x) * 3] = 2[x + 4] [3 + 6x] = 2[x + 4] Reorder the terms: 3 + 6x = 2[4 + x] 3 + 6x = [4 * 2 + x * 2] 3 + 6x = [8 + 2x] Solving 3 + 6x = 8 + 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 + 6x + -2x = 8 + 2x + -2x Combine like terms: 6x + -2x = 4x 3 + 4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 4x = 8 + 0 3 + 4x = 8 Add '-3' to each side of the equation. 3 + -3 + 4x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 8 + -3 4x = 8 + -3 Combine like terms: 8 + -3 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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