4m+6=-2m+30

Solution for 4m+6=-2m+30 equation:

Simplifying
4m + 6 = -2m + 30

Reorder the terms:
6 + 4m = -2m + 30

Reorder the terms:
6 + 4m = 30 + -2m

Solving
6 + 4m = 30 + -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 + 4m + 2m = 30 + -2m + 2m

Combine like terms: 4m + 2m = 6m
6 + 6m = 30 + -2m + 2m

Combine like terms: -2m + 2m = 0
6 + 6m = 30 + 0
6 + 6m = 30

Add '-6' to each side of the equation.
6 + -6 + 6m = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 6m = 30 + -6
6m = 30 + -6

Combine like terms: 30 + -6 = 24
6m = 24

Divide each side by '6'.
m = 4

Simplifying
m = 4