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Simplifying 2[(x + 3) * m] + 2(2x + -6m) = 26 Reorder the terms: 2[(3 + x) * m] + 2(2x + -6m) = 26 Reorder the terms for easier multiplication: 2[m(3 + x)] + 2(2x + -6m) = 26 2[(3 * m + x * m)] + 2(2x + -6m) = 26 2[(3m + mx)] + 2(2x + -6m) = 26 [3m * 2 + mx * 2] + 2(2x + -6m) = 26 [6m + 2mx] + 2(2x + -6m) = 26 Reorder the terms: 6m + 2mx + 2(-6m + 2x) = 26 6m + 2mx + (-6m * 2 + 2x * 2) = 26 6m + 2mx + (-12m + 4x) = 26 Reorder the terms: 6m + -12m + 2mx + 4x = 26 Combine like terms: 6m + -12m = -6m -6m + 2mx + 4x = 26 Solving -6m + 2mx + 4x = 26 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4x' to each side of the equation. -6m + 2mx + 4x + -4x = 26 + -4x Combine like terms: 4x + -4x = 0 -6m + 2mx + 0 = 26 + -4x -6m + 2mx = 26 + -4x Reorder the terms: -26 + -6m + 2mx + 4x = 26 + -4x + -26 + 4x Reorder the terms: -26 + -6m + 2mx + 4x = 26 + -26 + -4x + 4x Combine like terms: 26 + -26 = 0 -26 + -6m + 2mx + 4x = 0 + -4x + 4x -26 + -6m + 2mx + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -26 + -6m + 2mx + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-13 + -3m + mx + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-13 + -3m + mx + 2x)' equal to zero and attempt to solve: Simplifying -13 + -3m + mx + 2x = 0 Solving -13 + -3m + mx + 2x = 0 Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + -3m + mx + 13 + 2x = 0 + 13 Reorder the terms: -13 + 13 + -3m + mx + 2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3m + mx + 2x = 0 + 13 -3m + mx + 2x = 0 + 13 Combine like terms: 0 + 13 = 13 -3m + mx + 2x = 13 Add '-2x' to each side of the equation. -3m + mx + 2x + -2x = 13 + -2x Combine like terms: 2x + -2x = 0 -3m + mx + 0 = 13 + -2x -3m + mx = 13 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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