26=2(x+3)m+2(2x-6)m

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Solution for 26=2(x+3)m+2(2x-6)m equation:


Simplifying
26 = 2(x + 3) * m + 2(2x + -6) * m

Reorder the terms:
26 = 2(3 + x) * m + 2(2x + -6) * m

Reorder the terms for easier multiplication:
26 = 2m(3 + x) + 2(2x + -6) * m
26 = (3 * 2m + x * 2m) + 2(2x + -6) * m
26 = (6m + 2mx) + 2(2x + -6) * m

Reorder the terms:
26 = 6m + 2mx + 2(-6 + 2x) * m

Reorder the terms for easier multiplication:
26 = 6m + 2mx + 2m(-6 + 2x)
26 = 6m + 2mx + (-6 * 2m + 2x * 2m)
26 = 6m + 2mx + (-12m + 4mx)

Reorder the terms:
26 = 6m + -12m + 2mx + 4mx

Combine like terms: 6m + -12m = -6m
26 = -6m + 2mx + 4mx

Combine like terms: 2mx + 4mx = 6mx
26 = -6m + 6mx

Solving
26 = -6m + 6mx

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '6m' to each side of the equation.
26 + 6m = -6m + 6m + 6mx

Combine like terms: -6m + 6m = 0
26 + 6m = 0 + 6mx
26 + 6m = 6mx

Add '-6mx' to each side of the equation.
26 + 6m + -6mx = 6mx + -6mx

Combine like terms: 6mx + -6mx = 0
26 + 6m + -6mx = 0

Add '-26' to each side of the equation.
26 + 6m + -26 + -6mx = 0 + -26

Reorder the terms:
26 + -26 + 6m + -6mx = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 6m + -6mx = 0 + -26
6m + -6mx = 0 + -26

Combine like terms: 0 + -26 = -26
6m + -6mx = -26

Reorder the terms:
26 + 6m + -6mx = -26 + 26

Combine like terms: -26 + 26 = 0
26 + 6m + -6mx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(13 + 3m + -3mx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(13 + 3m + -3mx)' equal to zero and attempt to solve: Simplifying 13 + 3m + -3mx = 0 Solving 13 + 3m + -3mx = 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 + -13 + -3mx = 0 + -13 Reorder the terms: 13 + -13 + 3m + -3mx = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3m + -3mx = 0 + -13 3m + -3mx = 0 + -13 Combine like terms: 0 + -13 = -13 3m + -3mx = -13 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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