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