3(3m-2)=2(3m+6)

Solution for 3(3m-2)=2(3m+6) equation:

Simplifying
3(3m + -2) = 2(3m + 6)

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

Reorder the terms:
-6 + 9m = 2(6 + 3m)
-6 + 9m = (6 * 2 + 3m * 2)
-6 + 9m = (12 + 6m)

Solving
-6 + 9m = 12 + 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.
-6 + 9m + -6m = 12 + 6m + -6m

Combine like terms: 9m + -6m = 3m
-6 + 3m = 12 + 6m + -6m

Combine like terms: 6m + -6m = 0
-6 + 3m = 12 + 0
-6 + 3m = 12

Add '6' to each side of the equation.
-6 + 6 + 3m = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 3m = 12 + 6
3m = 12 + 6

Combine like terms: 12 + 6 = 18
3m = 18

Divide each side by '3'.
m = 6

Simplifying
m = 6