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Simplifying 3(2x + 5) + -3(x + -4) = 2(2x + 3) + -1x + 3 Reorder the terms: 3(5 + 2x) + -3(x + -4) = 2(2x + 3) + -1x + 3 (5 * 3 + 2x * 3) + -3(x + -4) = 2(2x + 3) + -1x + 3 (15 + 6x) + -3(x + -4) = 2(2x + 3) + -1x + 3 Reorder the terms: 15 + 6x + -3(-4 + x) = 2(2x + 3) + -1x + 3 15 + 6x + (-4 * -3 + x * -3) = 2(2x + 3) + -1x + 3 15 + 6x + (12 + -3x) = 2(2x + 3) + -1x + 3 Reorder the terms: 15 + 12 + 6x + -3x = 2(2x + 3) + -1x + 3 Combine like terms: 15 + 12 = 27 27 + 6x + -3x = 2(2x + 3) + -1x + 3 Combine like terms: 6x + -3x = 3x 27 + 3x = 2(2x + 3) + -1x + 3 Reorder the terms: 27 + 3x = 2(3 + 2x) + -1x + 3 27 + 3x = (3 * 2 + 2x * 2) + -1x + 3 27 + 3x = (6 + 4x) + -1x + 3 Reorder the terms: 27 + 3x = 6 + 3 + 4x + -1x Combine like terms: 6 + 3 = 9 27 + 3x = 9 + 4x + -1x Combine like terms: 4x + -1x = 3x 27 + 3x = 9 + 3x Add '-3x' to each side of the equation. 27 + 3x + -3x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 0 = 9 + 3x + -3x 27 = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 27 = 9 + 0 27 = 9 Solving 27 = 9 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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