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Simplifying 3(x + -2) + 1 = 2(x + -3) + (x + 1) Reorder the terms: 3(-2 + x) + 1 = 2(x + -3) + (x + 1) (-2 * 3 + x * 3) + 1 = 2(x + -3) + (x + 1) (-6 + 3x) + 1 = 2(x + -3) + (x + 1) Reorder the terms: -6 + 1 + 3x = 2(x + -3) + (x + 1) Combine like terms: -6 + 1 = -5 -5 + 3x = 2(x + -3) + (x + 1) Reorder the terms: -5 + 3x = 2(-3 + x) + (x + 1) -5 + 3x = (-3 * 2 + x * 2) + (x + 1) -5 + 3x = (-6 + 2x) + (x + 1) Reorder the terms: -5 + 3x = -6 + 2x + (1 + x) Remove parenthesis around (1 + x) -5 + 3x = -6 + 2x + 1 + x Reorder the terms: -5 + 3x = -6 + 1 + 2x + x Combine like terms: -6 + 1 = -5 -5 + 3x = -5 + 2x + x Combine like terms: 2x + x = 3x -5 + 3x = -5 + 3x Add '5' to each side of the equation. -5 + 5 + 3x = -5 + 5 + 3x Combine like terms: -5 + 5 = 0 0 + 3x = -5 + 5 + 3x 3x = -5 + 5 + 3x Combine like terms: -5 + 5 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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