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Simplifying (2x + -3) + -2(3x + 2) = -4(x + 1) Reorder the terms: (-3 + 2x) + -2(3x + 2) = -4(x + 1) Remove parenthesis around (-3 + 2x) -3 + 2x + -2(3x + 2) = -4(x + 1) Reorder the terms: -3 + 2x + -2(2 + 3x) = -4(x + 1) -3 + 2x + (2 * -2 + 3x * -2) = -4(x + 1) -3 + 2x + (-4 + -6x) = -4(x + 1) Reorder the terms: -3 + -4 + 2x + -6x = -4(x + 1) Combine like terms: -3 + -4 = -7 -7 + 2x + -6x = -4(x + 1) Combine like terms: 2x + -6x = -4x -7 + -4x = -4(x + 1) Reorder the terms: -7 + -4x = -4(1 + x) -7 + -4x = (1 * -4 + x * -4) -7 + -4x = (-4 + -4x) Add '4x' to each side of the equation. -7 + -4x + 4x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 0 = -4 + -4x + 4x -7 = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 = -4 + 0 -7 = -4 Solving -7 = -4 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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