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