3m+6m-m+2=4m-6

Solution for 3m+6m-m+2=4m-6 equation:

Simplifying
3m + 6m + -1m + 2 = 4m + -6

Reorder the terms:
2 + 3m + 6m + -1m = 4m + -6

Combine like terms: 3m + 6m = 9m
2 + 9m + -1m = 4m + -6

Combine like terms: 9m + -1m = 8m
2 + 8m = 4m + -6

Reorder the terms:
2 + 8m = -6 + 4m

Solving
2 + 8m = -6 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
2 + 8m + -4m = -6 + 4m + -4m

Combine like terms: 8m + -4m = 4m
2 + 4m = -6 + 4m + -4m

Combine like terms: 4m + -4m = 0
2 + 4m = -6 + 0
2 + 4m = -6

Add '-2' to each side of the equation.
2 + -2 + 4m = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 4m = -6 + -2
4m = -6 + -2

Combine like terms: -6 + -2 = -8
4m = -8

Divide each side by '4'.
m = -2

Simplifying
m = -2