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

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

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

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

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

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

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

Combine like terms: 2m + -2m = 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