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

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

Simplifying
2(3m + -6 + 3) = 2m + 2 + -4m

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

Combine like terms: -6 + 3 = -3
2(-3 + 3m) = 2m + 2 + -4m
(-3 * 2 + 3m * 2) = 2m + 2 + -4m
(-6 + 6m) = 2m + 2 + -4m

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

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

Solving
-6 + 6m = 2 + -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 + 6m + 2m = 2 + -2m + 2m

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

Combine like terms: -2m + 2m = 0
-6 + 8m = 2 + 0
-6 + 8m = 2

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

Combine like terms: -6 + 6 = 0
0 + 8m = 2 + 6
8m = 2 + 6

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

Divide each side by '8'.
m = 1

Simplifying
m = 1