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

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


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

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

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

Solving
6m + -3mx = 6 + -3x

Solving for variable 'm'.

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

Reorder the terms:
-6 + 6m + -3mx + 3x = 6 + -3x + -6 + 3x

Reorder the terms:
-6 + 6m + -3mx + 3x = 6 + -6 + -3x + 3x

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + 2m + -1mx + x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-2 + 2m + -1mx + x)' equal to zero and attempt to solve:

Simplifying
-2 + 2m + -1mx + x = 0

Solving
-2 + 2m + -1mx + x = 0

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

Add '2' to each side of the equation.
-2 + 2m + -1mx + 2 + x = 0 + 2

Reorder the terms:
-2 + 2 + 2m + -1mx + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 2m + -1mx + x = 0 + 2
2m + -1mx + x = 0 + 2

Combine like terms: 0 + 2 = 2
2m + -1mx + x = 2

Add '-1x' to each side of the equation.
2m + -1mx + x + -1x = 2 + -1x

Combine like terms: x + -1x = 0
2m + -1mx + 0 = 2 + -1x
2m + -1mx = 2 + -1x

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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