3m+6=5m+42

Solution for 3m+6=5m+42 equation:

Simplifying
3m + 6 = 5m + 42

Reorder the terms:
6 + 3m = 5m + 42

Reorder the terms:
6 + 3m = 42 + 5m

Solving
6 + 3m = 42 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
6 + 3m + -5m = 42 + 5m + -5m

Combine like terms: 3m + -5m = -2m
6 + -2m = 42 + 5m + -5m

Combine like terms: 5m + -5m = 0
6 + -2m = 42 + 0
6 + -2m = 42

Add '-6' to each side of the equation.
6 + -6 + -2m = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -2m = 42 + -6
-2m = 42 + -6

Combine like terms: 42 + -6 = 36
-2m = 36

Divide each side by '-2'.
m = -18

Simplifying
m = -18