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