(X+3)m=2xm

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

Simplifying
(X + 3) * m = 2xm

Reorder the terms:
(3 + X) * m = 2xm

Reorder the terms for easier multiplication:
m(3 + X) = 2xm
(3 * m + X * m) = 2xm
(3m + mX) = 2xm

Solving
3m + mX = 2mx

Solving for variable 'm'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'm'.
m(3 + X + -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 '(3 + X + -2x)' equal to zero and attempt to solve:

Simplifying
3 + X + -2x = 0

Solving
3 + X + -2x = 0

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

Add '-3' to each side of the equation.
3 + X + -3 + -2x = 0 + -3

Reorder the terms:
3 + -3 + X + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X + -2x = 0 + -3
X + -2x = 0 + -3

Combine like terms: 0 + -3 = -3
X + -2x = -3

Add '-1X' to each side of the equation.
X + -1X + -2x = -3 + -1X

Combine like terms: X + -1X = 0
0 + -2x = -3 + -1X
-2x = -3 + -1X

Add '2x' to each side of the equation.
-2x + 2x = -3 + -1X + 2x

Combine like terms: -2x + 2x = 0
0 = -3 + -1X + 2x

Simplifying
0 = -3 + -1X + 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}