5m+6=9m-27

Solution for 5m+6=9m-27 equation:

Simplifying
5m + 6 = 9m + -27

Reorder the terms:
6 + 5m = 9m + -27

Reorder the terms:
6 + 5m = -27 + 9m

Solving
6 + 5m = -27 + 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 = -27 + 9m + -9m

Combine like terms: 5m + -9m = -4m
6 + -4m = -27 + 9m + -9m

Combine like terms: 9m + -9m = 0
6 + -4m = -27 + 0
6 + -4m = -27

Add '-6' to each side of the equation.
6 + -6 + -4m = -27 + -6

Combine like terms: 6 + -6 = 0
0 + -4m = -27 + -6
-4m = -27 + -6

Combine like terms: -27 + -6 = -33
-4m = -33

Divide each side by '-4'.
m = 8.25

Simplifying
m = 8.25