2(m+3)=2(3m-1)

Solution for 2(m+3)=2(3m-1) equation:

Simplifying
2(m + 3) = 2(3m + -1)

Reorder the terms:
2(3 + m) = 2(3m + -1)
(3 * 2 + m * 2) = 2(3m + -1)
(6 + 2m) = 2(3m + -1)

Reorder the terms:
6 + 2m = 2(-1 + 3m)
6 + 2m = (-1 * 2 + 3m * 2)
6 + 2m = (-2 + 6m)

Solving
6 + 2m = -2 + 6m

Solving for variable 'm'.

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

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

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

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

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

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

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

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

Simplifying
m = 2