2(m-3)=2+3m

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

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

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

Solving
-6 + 2m = 2 + 3m

Solving for variable 'm'.

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

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

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

Combine like terms: 3m + -3m = 0
-6 + -1m = 2 + 0
-6 + -1m = 2

Add '6' to each side of the equation.
-6 + 6 + -1m = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 2 + 6
-1m = 2 + 6

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

Divide each side by '-1'.
m = -8

Simplifying
m = -8