2xm=(x+3)m

Solution for 2xm=(x+3)m equation:

Simplifying
2xm = (x + 3) * m

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

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

Solving
2mx = 3m + mx

Solving for variable 'm'.

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

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

Combine like terms: 3m + -3m = 0
-3m + 2mx = 0 + mx
-3m + 2mx = mx

Add '-1mx' to each side of the equation.
-3m + 2mx + -1mx = mx + -1mx

Combine like terms: 2mx + -1mx = 1mx
-3m + 1mx = mx + -1mx

Combine like terms: mx + -1mx = 0
-3m + 1mx = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-3 + x) = 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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Add '-1x' to each side of the equation.
x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -1x

The solution to this equation could not be determined.

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