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

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

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

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

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

Combine like terms: 2m + 3m = 5m
-2 + 5m = 6 + -3m + 3m

Combine like terms: -3m + 3m = 0
-2 + 5m = 6 + 0
-2 + 5m = 6

Add '2' to each side of the equation.
-2 + 2 + 5m = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 5m = 6 + 2
5m = 6 + 2

Combine like terms: 6 + 2 = 8
5m = 8

Divide each side by '5'.
m = 1.6

Simplifying
m = 1.6