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

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

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

Reorder the terms:
3(-2 + 3m) = 2(3m + -3)
(-2 * 3 + 3m * 3) = 2(3m + -3)
(-6 + 9m) = 2(3m + -3)

Reorder the terms:
-6 + 9m = 2(-3 + 3m)
-6 + 9m = (-3 * 2 + 3m * 2)
-6 + 9m = (-6 + 6m)

Add '6' to each side of the equation.
-6 + 6 + 9m = -6 + 6 + 6m

Combine like terms: -6 + 6 = 0
0 + 9m = -6 + 6 + 6m
9m = -6 + 6 + 6m

Combine like terms: -6 + 6 = 0
9m = 0 + 6m
9m = 6m

Solving
9m = 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
9m + -6m = 6m + -6m

Combine like terms: 9m + -6m = 3m
3m = 6m + -6m

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

Divide each side by '3'.
m = 0

Simplifying
m = 0