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

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

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

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

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

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

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

Combine like terms: 4m + -4m = 0
-3 + 2m = 2 + 0
-3 + 2m = 2

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

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

Combine like terms: 2 + 3 = 5
2m = 5

Divide each side by '2'.
m = 2.5

Simplifying
m = 2.5