(3x-11)m=(5x-6)m

Solution for (3x-11)m=(5x-6)m equation:

Simplifying
(3x + -11) * m = (5x + -6) * m

Reorder the terms:
(-11 + 3x) * m = (5x + -6) * m

Reorder the terms for easier multiplication:
m(-11 + 3x) = (5x + -6) * m
(-11 * m + 3x * m) = (5x + -6) * m
(-11m + 3mx) = (5x + -6) * m

Reorder the terms:
-11m + 3mx = (-6 + 5x) * m

Reorder the terms for easier multiplication:
-11m + 3mx = m(-6 + 5x)
-11m + 3mx = (-6 * m + 5x * m)
-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 = -5m
-5m + 3mx = -6m + 6m + 5mx

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1m'.
-1m(5 + 2x) = 0

Ignore the factor -1.
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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Add '-2x' to each side of the equation.
2x + -2x = -5 + -2x

Combine like terms: 2x + -2x = 0
0 = -5 + -2x

Simplifying
0 = -5 + -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}