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Simplifying (3m + -2) * x = (6 + -2m) Reorder the terms: (-2 + 3m) * x = (6 + -2m) Reorder the terms for easier multiplication: x(-2 + 3m) = (6 + -2m) (-2 * x + 3m * x) = (6 + -2m) Reorder the terms: (3mx + -2x) = (6 + -2m) (3mx + -2x) = (6 + -2m) Remove parenthesis around (6 + -2m) 3mx + -2x = 6 + -2m Solving 3mx + -2x = 6 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 3mx + 2m + -2x = 6 + -2m + 2m Reorder the terms: 2m + 3mx + -2x = 6 + -2m + 2m Combine like terms: -2m + 2m = 0 2m + 3mx + -2x = 6 + 0 2m + 3mx + -2x = 6 Add '2x' to each side of the equation. 2m + 3mx + -2x + 2x = 6 + 2x Combine like terms: -2x + 2x = 0 2m + 3mx + 0 = 6 + 2x 2m + 3mx = 6 + 2x Reorder the terms: -6 + 2m + 3mx + -2x = 6 + 2x + -6 + -2x Reorder the terms: -6 + 2m + 3mx + -2x = 6 + -6 + 2x + -2x Combine like terms: 6 + -6 = 0 -6 + 2m + 3mx + -2x = 0 + 2x + -2x -6 + 2m + 3mx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2m + 3mx + -2x = 0 The solution to this equation could not be determined.
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