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Simplifying 2(2x + 1) + -3(2 + -3x) = 5 + 3x + -2(1 + -5x) Reorder the terms: 2(1 + 2x) + -3(2 + -3x) = 5 + 3x + -2(1 + -5x) (1 * 2 + 2x * 2) + -3(2 + -3x) = 5 + 3x + -2(1 + -5x) (2 + 4x) + -3(2 + -3x) = 5 + 3x + -2(1 + -5x) 2 + 4x + (2 * -3 + -3x * -3) = 5 + 3x + -2(1 + -5x) 2 + 4x + (-6 + 9x) = 5 + 3x + -2(1 + -5x) Reorder the terms: 2 + -6 + 4x + 9x = 5 + 3x + -2(1 + -5x) Combine like terms: 2 + -6 = -4 -4 + 4x + 9x = 5 + 3x + -2(1 + -5x) Combine like terms: 4x + 9x = 13x -4 + 13x = 5 + 3x + -2(1 + -5x) -4 + 13x = 5 + 3x + (1 * -2 + -5x * -2) -4 + 13x = 5 + 3x + (-2 + 10x) Reorder the terms: -4 + 13x = 5 + -2 + 3x + 10x Combine like terms: 5 + -2 = 3 -4 + 13x = 3 + 3x + 10x Combine like terms: 3x + 10x = 13x -4 + 13x = 3 + 13x Add '-13x' to each side of the equation. -4 + 13x + -13x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + 0 = 3 + 13x + -13x -4 = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 = 3 + 0 -4 = 3 Solving -4 = 3 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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