2m-42=8m+15m

Solution for 2m-42=8m+15m equation:

Simplifying
2m + -42 = 8m + 15m

Reorder the terms:
-42 + 2m = 8m + 15m

Combine like terms: 8m + 15m = 23m
-42 + 2m = 23m

Solving
-42 + 2m = 23m

Solving for variable 'm'.

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

Add '-23m' to each side of the equation.
-42 + 2m + -23m = 23m + -23m

Combine like terms: 2m + -23m = -21m
-42 + -21m = 23m + -23m

Combine like terms: 23m + -23m = 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