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

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

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

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

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

Combine like terms: 2 + 2 = 4
4 + -2m = 3(2m + -1) + 1

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

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

Combine like terms: -3 + 1 = -2
4 + -2m = -2 + 6m

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

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

Combine like terms: 6m + -6m = 0
4 + -8m = -2 + 0
4 + -8m = -2

Add '-4' to each side of the equation.
4 + -4 + -8m = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -8m = -2 + -4
-8m = -2 + -4

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

Divide each side by '-8'.
m = 0.75

Simplifying
m = 0.75