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Simplifying 3(x + -1) + -2(x + -2) = 1(x + 3) Reorder the terms: 3(-1 + x) + -2(x + -2) = 1(x + 3) (-1 * 3 + x * 3) + -2(x + -2) = 1(x + 3) (-3 + 3x) + -2(x + -2) = 1(x + 3) Reorder the terms: -3 + 3x + -2(-2 + x) = 1(x + 3) -3 + 3x + (-2 * -2 + x * -2) = 1(x + 3) -3 + 3x + (4 + -2x) = 1(x + 3) Reorder the terms: -3 + 4 + 3x + -2x = 1(x + 3) Combine like terms: -3 + 4 = 1 1 + 3x + -2x = 1(x + 3) Combine like terms: 3x + -2x = 1x 1 + 1x = 1(x + 3) Reorder the terms: 1 + 1x = 1(3 + x) 1 + 1x = (3 * 1 + x * 1) 1 + 1x = (3 + 1x) Add '-1x' to each side of the equation. 1 + 1x + -1x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 0 = 3 + 1x + -1x 1 = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 1 = 3 + 0 1 = 3 Solving 1 = 3 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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