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