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

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

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

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

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

Reorder the terms:
6 + 5 + 2m + -5m = -1

Combine like terms: 6 + 5 = 11
11 + 2m + -5m = -1

Combine like terms: 2m + -5m = -3m
11 + -3m = -1

Solving
11 + -3m = -1

Solving for variable 'm'.

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

Add '-11' to each side of the equation.
11 + -11 + -3m = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -3m = -1 + -11
-3m = -1 + -11

Combine like terms: -1 + -11 = -12
-3m = -12

Divide each side by '-3'.
m = 4

Simplifying
m = 4