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Simplifying 2x + -1[3x + -1(2x + 3)] = 3x + [4 + -1(2x + 1)] Reorder the terms: 2x + -1[3x + -1(3 + 2x)] = 3x + [4 + -1(2x + 1)] 2x + -1[3x + (3 * -1 + 2x * -1)] = 3x + [4 + -1(2x + 1)] 2x + -1[3x + (-3 + -2x)] = 3x + [4 + -1(2x + 1)] Reorder the terms: 2x + -1[-3 + 3x + -2x] = 3x + [4 + -1(2x + 1)] Combine like terms: 3x + -2x = 1x 2x + -1[-3 + 1x] = 3x + [4 + -1(2x + 1)] 2x + [-3 * -1 + 1x * -1] = 3x + [4 + -1(2x + 1)] 2x + [3 + -1x] = 3x + [4 + -1(2x + 1)] Reorder the terms: 3 + 2x + -1x = 3x + [4 + -1(2x + 1)] Combine like terms: 2x + -1x = 1x 3 + 1x = 3x + [4 + -1(2x + 1)] Reorder the terms: 3 + 1x = 3x + [4 + -1(1 + 2x)] 3 + 1x = 3x + [4 + (1 * -1 + 2x * -1)] 3 + 1x = 3x + [4 + (-1 + -2x)] Combine like terms: 4 + -1 = 3 3 + 1x = 3x + [3 + -2x] Remove brackets around [3 + -2x] 3 + 1x = 3x + 3 + -2x Reorder the terms: 3 + 1x = 3 + 3x + -2x Combine like terms: 3x + -2x = 1x 3 + 1x = 3 + 1x Add '-3' to each side of the equation. 3 + -3 + 1x = 3 + -3 + 1x Combine like terms: 3 + -3 = 0 0 + 1x = 3 + -3 + 1x 1x = 3 + -3 + 1x Combine like terms: 3 + -3 = 0 1x = 0 + 1x 1x = 1x Add '-1x' to each side of the equation. 1x + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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