3m+6=24m+48

Solution for 3m+6=24m+48 equation:

Simplifying
3m + 6 = 24m + 48

Reorder the terms:
6 + 3m = 24m + 48

Reorder the terms:
6 + 3m = 48 + 24m

Solving
6 + 3m = 48 + 24m

Solving for variable 'm'.

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

Add '-24m' to each side of the equation.
6 + 3m + -24m = 48 + 24m + -24m

Combine like terms: 3m + -24m = -21m
6 + -21m = 48 + 24m + -24m

Combine like terms: 24m + -24m = 0
6 + -21m = 48 + 0
6 + -21m = 48

Add '-6' to each side of the equation.
6 + -6 + -21m = 48 + -6

Combine like terms: 6 + -6 = 0
0 + -21m = 48 + -6
-21m = 48 + -6

Combine like terms: 48 + -6 = 42
-21m = 42

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

Simplifying
m = -2