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

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

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

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

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

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

Combine like terms: -2m + -6m = -8m
4 + -8m = 3 + 6m + -6m

Combine like terms: 6m + -6m = 0
4 + -8m = 3 + 0
4 + -8m = 3

Add '-4' to each side of the equation.
4 + -4 + -8m = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -8m = 3 + -4
-8m = 3 + -4

Combine like terms: 3 + -4 = -1
-8m = -1

Divide each side by '-8'.
m = 0.125

Simplifying
m = 0.125