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

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

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

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

Combine like terms: -3m + m = -2m
3 + -2m = 2(m + -1) + -3

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

Reorder the terms:
3 + -2m = -2 + -3 + 2m

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

Solving
3 + -2m = -5 + 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.
3 + -2m + -2m = -5 + 2m + -2m

Combine like terms: -2m + -2m = -4m
3 + -4m = -5 + 2m + -2m

Combine like terms: 2m + -2m = 0
3 + -4m = -5 + 0
3 + -4m = -5

Add '-3' to each side of the equation.
3 + -3 + -4m = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -4m = -5 + -3
-4m = -5 + -3

Combine like terms: -5 + -3 = -8
-4m = -8

Divide each side by '-4'.
m = 2

Simplifying
m = 2