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Simplifying -2[3x + 4] + -1x + 6 = -5x + -2[x + 1] + 5 Reorder the terms: -2[4 + 3x] + -1x + 6 = -5x + -2[x + 1] + 5 [4 * -2 + 3x * -2] + -1x + 6 = -5x + -2[x + 1] + 5 [-8 + -6x] + -1x + 6 = -5x + -2[x + 1] + 5 Reorder the terms: -8 + 6 + -6x + -1x = -5x + -2[x + 1] + 5 Combine like terms: -8 + 6 = -2 -2 + -6x + -1x = -5x + -2[x + 1] + 5 Combine like terms: -6x + -1x = -7x -2 + -7x = -5x + -2[x + 1] + 5 Reorder the terms: -2 + -7x = -5x + -2[1 + x] + 5 -2 + -7x = -5x + [1 * -2 + x * -2] + 5 -2 + -7x = -5x + [-2 + -2x] + 5 Reorder the terms: -2 + -7x = -2 + 5 + -5x + -2x Combine like terms: -2 + 5 = 3 -2 + -7x = 3 + -5x + -2x Combine like terms: -5x + -2x = -7x -2 + -7x = 3 + -7x Add '7x' to each side of the equation. -2 + -7x + 7x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 0 = 3 + -7x + 7x -2 = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 = 3 + 0 -2 = 3 Solving -2 = 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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