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Simplifying 2(x + 3) + -2(x + 4) = 21 Reorder the terms: 2(3 + x) + -2(x + 4) = 21 (3 * 2 + x * 2) + -2(x + 4) = 21 (6 + 2x) + -2(x + 4) = 21 Reorder the terms: 6 + 2x + -2(4 + x) = 21 6 + 2x + (4 * -2 + x * -2) = 21 6 + 2x + (-8 + -2x) = 21 Reorder the terms: 6 + -8 + 2x + -2x = 21 Combine like terms: 6 + -8 = -2 -2 + 2x + -2x = 21 Combine like terms: 2x + -2x = 0 -2 + 0 = 21 -2 = 21 Solving -2 = 21 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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