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Simplifying 3[4(x + -7) + 2(x + -1)] = 2(5x + 3) Reorder the terms: 3[4(-7 + x) + 2(x + -1)] = 2(5x + 3) 3[(-7 * 4 + x * 4) + 2(x + -1)] = 2(5x + 3) 3[(-28 + 4x) + 2(x + -1)] = 2(5x + 3) Reorder the terms: 3[-28 + 4x + 2(-1 + x)] = 2(5x + 3) 3[-28 + 4x + (-1 * 2 + x * 2)] = 2(5x + 3) 3[-28 + 4x + (-2 + 2x)] = 2(5x + 3) Reorder the terms: 3[-28 + -2 + 4x + 2x] = 2(5x + 3) Combine like terms: -28 + -2 = -30 3[-30 + 4x + 2x] = 2(5x + 3) Combine like terms: 4x + 2x = 6x 3[-30 + 6x] = 2(5x + 3) [-30 * 3 + 6x * 3] = 2(5x + 3) [-90 + 18x] = 2(5x + 3) Reorder the terms: -90 + 18x = 2(3 + 5x) -90 + 18x = (3 * 2 + 5x * 2) -90 + 18x = (6 + 10x) Solving -90 + 18x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -90 + 18x + -10x = 6 + 10x + -10x Combine like terms: 18x + -10x = 8x -90 + 8x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -90 + 8x = 6 + 0 -90 + 8x = 6 Add '90' to each side of the equation. -90 + 90 + 8x = 6 + 90 Combine like terms: -90 + 90 = 0 0 + 8x = 6 + 90 8x = 6 + 90 Combine like terms: 6 + 90 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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