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Simplifying 3x + -2(2x + 3) = 5x + -1[2x + -1(7 + -4x)] Reorder the terms: 3x + -2(3 + 2x) = 5x + -1[2x + -1(7 + -4x)] 3x + (3 * -2 + 2x * -2) = 5x + -1[2x + -1(7 + -4x)] 3x + (-6 + -4x) = 5x + -1[2x + -1(7 + -4x)] Reorder the terms: -6 + 3x + -4x = 5x + -1[2x + -1(7 + -4x)] Combine like terms: 3x + -4x = -1x -6 + -1x = 5x + -1[2x + -1(7 + -4x)] -6 + -1x = 5x + -1[2x + (7 * -1 + -4x * -1)] -6 + -1x = 5x + -1[2x + (-7 + 4x)] Reorder the terms: -6 + -1x = 5x + -1[-7 + 2x + 4x] Combine like terms: 2x + 4x = 6x -6 + -1x = 5x + -1[-7 + 6x] -6 + -1x = 5x + [-7 * -1 + 6x * -1] -6 + -1x = 5x + [7 + -6x] Reorder the terms: -6 + -1x = 7 + 5x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = 7 + -1x Add 'x' to each side of the equation. -6 + -1x + x = 7 + -1x + x Combine like terms: -1x + x = 0 -6 + 0 = 7 + -1x + x -6 = 7 + -1x + x Combine like terms: -1x + x = 0 -6 = 7 + 0 -6 = 7 Solving -6 = 7 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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