m+6=55-6m

Solution for m+6=55-6m equation:

Simplifying
m + 6 = 55 + -6m

Reorder the terms:
6 + m = 55 + -6m

Solving
6 + m = 55 + -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 + m + 6m = 55 + -6m + 6m

Combine like terms: m + 6m = 7m
6 + 7m = 55 + -6m + 6m

Combine like terms: -6m + 6m = 0
6 + 7m = 55 + 0
6 + 7m = 55

Add '-6' to each side of the equation.
6 + -6 + 7m = 55 + -6

Combine like terms: 6 + -6 = 0
0 + 7m = 55 + -6
7m = 55 + -6

Combine like terms: 55 + -6 = 49
7m = 49

Divide each side by '7'.
m = 7

Simplifying
m = 7