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Simplifying (2x + -6) + -2(3x + -5) = 2(6 + -2x) Reorder the terms: (-6 + 2x) + -2(3x + -5) = 2(6 + -2x) Remove parenthesis around (-6 + 2x) -6 + 2x + -2(3x + -5) = 2(6 + -2x) Reorder the terms: -6 + 2x + -2(-5 + 3x) = 2(6 + -2x) -6 + 2x + (-5 * -2 + 3x * -2) = 2(6 + -2x) -6 + 2x + (10 + -6x) = 2(6 + -2x) Reorder the terms: -6 + 10 + 2x + -6x = 2(6 + -2x) Combine like terms: -6 + 10 = 4 4 + 2x + -6x = 2(6 + -2x) Combine like terms: 2x + -6x = -4x 4 + -4x = 2(6 + -2x) 4 + -4x = (6 * 2 + -2x * 2) 4 + -4x = (12 + -4x) Add '4x' to each side of the equation. 4 + -4x + 4x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 0 = 12 + -4x + 4x 4 = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 4 = 12 + 0 4 = 12 Solving 4 = 12 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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