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Simplifying 3(x + -5) + -1(2x + 4) = 6(x + 2) + -5x Reorder the terms: 3(-5 + x) + -1(2x + 4) = 6(x + 2) + -5x (-5 * 3 + x * 3) + -1(2x + 4) = 6(x + 2) + -5x (-15 + 3x) + -1(2x + 4) = 6(x + 2) + -5x Reorder the terms: -15 + 3x + -1(4 + 2x) = 6(x + 2) + -5x -15 + 3x + (4 * -1 + 2x * -1) = 6(x + 2) + -5x -15 + 3x + (-4 + -2x) = 6(x + 2) + -5x Reorder the terms: -15 + -4 + 3x + -2x = 6(x + 2) + -5x Combine like terms: -15 + -4 = -19 -19 + 3x + -2x = 6(x + 2) + -5x Combine like terms: 3x + -2x = 1x -19 + 1x = 6(x + 2) + -5x Reorder the terms: -19 + 1x = 6(2 + x) + -5x -19 + 1x = (2 * 6 + x * 6) + -5x -19 + 1x = (12 + 6x) + -5x Combine like terms: 6x + -5x = 1x -19 + 1x = 12 + 1x Add '-1x' to each side of the equation. -19 + 1x + -1x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -19 + 0 = 12 + 1x + -1x -19 = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -19 = 12 + 0 -19 = 12 Solving -19 = 12 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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