3m-6=5m+7m

Solution for 3m-6=5m+7m equation:

Simplifying
3m + -6 = 5m + 7m

Reorder the terms:
-6 + 3m = 5m + 7m

Combine like terms: 5m + 7m = 12m
-6 + 3m = 12m

Solving
-6 + 3m = 12m

Solving for variable 'm'.

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -9m = 0 + 6

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

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

Divide each side by '-9'.
m = -0.6666666667

Simplifying
m = -0.6666666667