42-3m=5m+13m

Solution for 42-3m=5m+13m equation:

Simplifying
42 + -3m = 5m + 13m

Combine like terms: 5m + 13m = 18m
42 + -3m = 18m

Solving
42 + -3m = 18m

Solving for variable 'm'.

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

Add '-18m' to each side of the equation.
42 + -3m + -18m = 18m + -18m

Combine like terms: -3m + -18m = -21m
42 + -21m = 18m + -18m

Combine like terms: 18m + -18m = 0
42 + -21m = 0

Add '-42' to each side of the equation.
42 + -42 + -21m = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -21m = 0 + -42
-21m = 0 + -42

Combine like terms: 0 + -42 = -42
-21m = -42

Divide each side by '-21'.
m = 2

Simplifying
m = 2