Sm-3(m-2)=2(m+3)

Solution for Sm-3(m-2)=2(m+3) equation:

Simplifying
Sm + -3(m + -2) = 2(m + 3)

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

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

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

Add '-6' to each side of the equation.
6 + -3m + -6 + mS = 6 + -6 + 2m

Reorder the terms:
6 + -6 + -3m + mS = 6 + -6 + 2m

Combine like terms: 6 + -6 = 0
0 + -3m + mS = 6 + -6 + 2m
-3m + mS = 6 + -6 + 2m

Combine like terms: 6 + -6 = 0
-3m + mS = 0 + 2m
-3m + mS = 2m

Solving
-3m + mS = 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-3m + -2m + mS = 2m + -2m

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

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

Factor out the Greatest Common Factor (GCF), 'm'.
m(-5 + S) = 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 '(-5 + S)' equal to zero and attempt to solve:

Simplifying
-5 + S = 0

Solving
-5 + S = 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 + S = 0 + 5

Combine like terms: -5 + 5 = 0
0 + S = 0 + 5
S = 0 + 5

Combine like terms: 0 + 5 = 5
S = 5

Add '-1S' to each side of the equation.
S + -1S = 5 + -1S

Combine like terms: S + -1S = 0
0 = 5 + -1S

Simplifying
0 = 5 + -1S

The solution to this equation could not be determined.

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