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Simplifying -3(x + -2) + 4(2x + 5) = 10x + -1(5x + -23) Reorder the terms: -3(-2 + x) + 4(2x + 5) = 10x + -1(5x + -23) (-2 * -3 + x * -3) + 4(2x + 5) = 10x + -1(5x + -23) (6 + -3x) + 4(2x + 5) = 10x + -1(5x + -23) Reorder the terms: 6 + -3x + 4(5 + 2x) = 10x + -1(5x + -23) 6 + -3x + (5 * 4 + 2x * 4) = 10x + -1(5x + -23) 6 + -3x + (20 + 8x) = 10x + -1(5x + -23) Reorder the terms: 6 + 20 + -3x + 8x = 10x + -1(5x + -23) Combine like terms: 6 + 20 = 26 26 + -3x + 8x = 10x + -1(5x + -23) Combine like terms: -3x + 8x = 5x 26 + 5x = 10x + -1(5x + -23) Reorder the terms: 26 + 5x = 10x + -1(-23 + 5x) 26 + 5x = 10x + (-23 * -1 + 5x * -1) 26 + 5x = 10x + (23 + -5x) Reorder the terms: 26 + 5x = 23 + 10x + -5x Combine like terms: 10x + -5x = 5x 26 + 5x = 23 + 5x Add '-5x' to each side of the equation. 26 + 5x + -5x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 26 + 0 = 23 + 5x + -5x 26 = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 26 = 23 + 0 26 = 23 Solving 26 = 23 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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