2(m-3)+3m=9m+12

Solution for 2(m-3)+3m=9m+12 equation:

Simplifying
2(m + -3) + 3m = 9m + 12

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

Combine like terms: 2m + 3m = 5m
-6 + 5m = 9m + 12

Reorder the terms:
-6 + 5m = 12 + 9m

Solving
-6 + 5m = 12 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
-6 + 5m + -9m = 12 + 9m + -9m

Combine like terms: 5m + -9m = -4m
-6 + -4m = 12 + 9m + -9m

Combine like terms: 9m + -9m = 0
-6 + -4m = 12 + 0
-6 + -4m = 12

Add '6' to each side of the equation.
-6 + 6 + -4m = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -4m = 12 + 6
-4m = 12 + 6

Combine like terms: 12 + 6 = 18
-4m = 18

Divide each side by '-4'.
m = -4.5

Simplifying
m = -4.5