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Simplifying 6x + -3(x + 8) = 2(3x + 2) + -3(x + 11) Reorder the terms: 6x + -3(8 + x) = 2(3x + 2) + -3(x + 11) 6x + (8 * -3 + x * -3) = 2(3x + 2) + -3(x + 11) 6x + (-24 + -3x) = 2(3x + 2) + -3(x + 11) Reorder the terms: -24 + 6x + -3x = 2(3x + 2) + -3(x + 11) Combine like terms: 6x + -3x = 3x -24 + 3x = 2(3x + 2) + -3(x + 11) Reorder the terms: -24 + 3x = 2(2 + 3x) + -3(x + 11) -24 + 3x = (2 * 2 + 3x * 2) + -3(x + 11) -24 + 3x = (4 + 6x) + -3(x + 11) Reorder the terms: -24 + 3x = 4 + 6x + -3(11 + x) -24 + 3x = 4 + 6x + (11 * -3 + x * -3) -24 + 3x = 4 + 6x + (-33 + -3x) Reorder the terms: -24 + 3x = 4 + -33 + 6x + -3x Combine like terms: 4 + -33 = -29 -24 + 3x = -29 + 6x + -3x Combine like terms: 6x + -3x = 3x -24 + 3x = -29 + 3x Add '-3x' to each side of the equation. -24 + 3x + -3x = -29 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 0 = -29 + 3x + -3x -24 = -29 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 = -29 + 0 -24 = -29 Solving -24 = -29 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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