6+3m=46-2m

Solution for 6+3m=46-2m equation:

Simplifying
6 + 3m = 46 + -2m

Solving
6 + 3m = 46 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
6 + 3m + 2m = 46 + -2m + 2m

Combine like terms: 3m + 2m = 5m
6 + 5m = 46 + -2m + 2m

Combine like terms: -2m + 2m = 0
6 + 5m = 46 + 0
6 + 5m = 46

Add '-6' to each side of the equation.
6 + -6 + 5m = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 5m = 46 + -6
5m = 46 + -6

Combine like terms: 46 + -6 = 40
5m = 40

Divide each side by '5'.
m = 8

Simplifying
m = 8