8m-2(m-3)=5+3(2m-1)-m

Solution for 8m-2(m-3)=5+3(2m-1)-m equation:

Simplifying
8m + -2(m + -3) = 5 + 3(2m + -1) + -1m

Reorder the terms:
8m + -2(-3 + m) = 5 + 3(2m + -1) + -1m
8m + (-3 * -2 + m * -2) = 5 + 3(2m + -1) + -1m
8m + (6 + -2m) = 5 + 3(2m + -1) + -1m

Reorder the terms:
6 + 8m + -2m = 5 + 3(2m + -1) + -1m

Combine like terms: 8m + -2m = 6m
6 + 6m = 5 + 3(2m + -1) + -1m

Reorder the terms:
6 + 6m = 5 + 3(-1 + 2m) + -1m
6 + 6m = 5 + (-1 * 3 + 2m * 3) + -1m
6 + 6m = 5 + (-3 + 6m) + -1m

Combine like terms: 5 + -3 = 2
6 + 6m = 2 + 6m + -1m

Combine like terms: 6m + -1m = 5m
6 + 6m = 2 + 5m

Solving
6 + 6m = 2 + 5m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

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

Combine like terms: 6m + -5m = 1m
6 + 1m = 2 + 5m + -5m

Combine like terms: 5m + -5m = 0
6 + 1m = 2 + 0
6 + 1m = 2

Add '-6' to each side of the equation.
6 + -6 + 1m = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1m = 2 + -6
1m = 2 + -6

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

Divide each side by '1'.
m = -4

Simplifying
m = -4