3xm+11m=5xm-6m

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Solution for 3xm+11m=5xm-6m equation: 


Simplifying
3xm + 11m = 5xm + -6m

Reorder the terms:
11m + 3mx = 5xm + -6m

Reorder the terms:
11m + 3mx = -6m + 5mx

Solving
11m + 3mx = -6m + 5mx

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.
11m + 6m + 3mx = -6m + 6m + 5mx

Combine like terms: 11m + 6m = 17m
17m + 3mx = -6m + 6m + 5mx

Combine like terms: -6m + 6m = 0
17m + 3mx = 0 + 5mx
17m + 3mx = 5mx

Add '-5mx' to each side of the equation.
17m + 3mx + -5mx = 5mx + -5mx

Combine like terms: 3mx + -5mx = -2mx
17m + -2mx = 5mx + -5mx

Combine like terms: 5mx + -5mx = 0
17m + -2mx = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(17 + -2x) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(17 + -2x)' equal to zero and attempt to solve:

Simplifying
17 + -2x = 0

Solving
17 + -2x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 0 + -17
-2x = 0 + -17

Combine like terms: 0 + -17 = -17
-2x = -17

Add '2x' to each side of the equation.
-2x + 2x = -17 + 2x

Combine like terms: -2x + 2x = 0
0 = -17 + 2x

Simplifying
0 = -17 + 2x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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