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

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

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

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

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

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

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

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

Add '-1mx' to each side of the equation.
-6 + 6m + -1mx = mx + -1mx

Combine like terms: mx + -1mx = 0
-6 + 6m + -1mx = 0

Add '6' to each side of the equation.
-6 + 6m + 6 + -1mx = 0 + 6

Reorder the terms:
-6 + 6 + 6m + -1mx = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6m + -1mx = 0 + 6
6m + -1mx = 0 + 6

Combine like terms: 0 + 6 = 6
6m + -1mx = 6

Reorder the terms:
-6 + 6m + -1mx = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 6m + -1mx = 0

The solution to this equation could not be determined.