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

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

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

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

Reorder the terms:
-6 + 9m = 3 + 3m

Solving
-6 + 9m = 3 + 3m

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 + 9m + -3m = 3 + 3m + -3m

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

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

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

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

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

Divide each side by '6'.
m = 1.5

Simplifying
m = 1.5