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Simplifying 3(5x + -1) + 5(3x + 2) = 15(2x + 1) Reorder the terms: 3(-1 + 5x) + 5(3x + 2) = 15(2x + 1) (-1 * 3 + 5x * 3) + 5(3x + 2) = 15(2x + 1) (-3 + 15x) + 5(3x + 2) = 15(2x + 1) Reorder the terms: -3 + 15x + 5(2 + 3x) = 15(2x + 1) -3 + 15x + (2 * 5 + 3x * 5) = 15(2x + 1) -3 + 15x + (10 + 15x) = 15(2x + 1) Reorder the terms: -3 + 10 + 15x + 15x = 15(2x + 1) Combine like terms: -3 + 10 = 7 7 + 15x + 15x = 15(2x + 1) Combine like terms: 15x + 15x = 30x 7 + 30x = 15(2x + 1) Reorder the terms: 7 + 30x = 15(1 + 2x) 7 + 30x = (1 * 15 + 2x * 15) 7 + 30x = (15 + 30x) Add '-30x' to each side of the equation. 7 + 30x + -30x = 15 + 30x + -30x Combine like terms: 30x + -30x = 0 7 + 0 = 15 + 30x + -30x 7 = 15 + 30x + -30x Combine like terms: 30x + -30x = 0 7 = 15 + 0 7 = 15 Solving 7 = 15 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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