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