-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 = -4m
-4 + -4m = 3 + 6m + -6m

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

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

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

Combine like terms: 3 + 4 = 7
-4m = 7

Divide each side by '-4'.
m = -1.75

Simplifying
m = -1.75