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

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


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

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

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

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

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

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

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

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

Solving
-6m + 6mx = 26

Solving for variable 'm'.

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

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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