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Simplifying 3[2x + -3(4 + -1x)] = 2(1 + -2x) 3[2x + (4 * -3 + -1x * -3)] = 2(1 + -2x) 3[2x + (-12 + 3x)] = 2(1 + -2x) Reorder the terms: 3[-12 + 2x + 3x] = 2(1 + -2x) Combine like terms: 2x + 3x = 5x 3[-12 + 5x] = 2(1 + -2x) [-12 * 3 + 5x * 3] = 2(1 + -2x) [-36 + 15x] = 2(1 + -2x) -36 + 15x = (1 * 2 + -2x * 2) -36 + 15x = (2 + -4x) Solving -36 + 15x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -36 + 15x + 4x = 2 + -4x + 4x Combine like terms: 15x + 4x = 19x -36 + 19x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -36 + 19x = 2 + 0 -36 + 19x = 2 Add '36' to each side of the equation. -36 + 36 + 19x = 2 + 36 Combine like terms: -36 + 36 = 0 0 + 19x = 2 + 36 19x = 2 + 36 Combine like terms: 2 + 36 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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