3(m-1)=2(m-3)

Solution for 3(m-1)=2(m-3) equation:

Simplifying
3(m + -1) = 2(m + -3)

Reorder the terms:
3(-1 + m) = 2(m + -3)
(-1 * 3 + m * 3) = 2(m + -3)
(-3 + 3m) = 2(m + -3)

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

Solving
-3 + 3m = -6 + 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.
-3 + 3m + -2m = -6 + 2m + -2m

Combine like terms: 3m + -2m = 1m
-3 + 1m = -6 + 2m + -2m

Combine like terms: 2m + -2m = 0
-3 + 1m = -6 + 0
-3 + 1m = -6

Add '3' to each side of the equation.
-3 + 3 + 1m = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 1m = -6 + 3
1m = -6 + 3

Combine like terms: -6 + 3 = -3
1m = -3

Divide each side by '1'.
m = -3

Simplifying
m = -3