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

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

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

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

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

Solving
6 + 2m = 5 + -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 + 2m + 5m = 5 + -5m + 5m

Combine like terms: 2m + 5m = 7m
6 + 7m = 5 + -5m + 5m

Combine like terms: -5m + 5m = 0
6 + 7m = 5 + 0
6 + 7m = 5

Add '-6' to each side of the equation.
6 + -6 + 7m = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 7m = 5 + -6
7m = 5 + -6

Combine like terms: 5 + -6 = -1
7m = -1

Divide each side by '7'.
m = -0.1428571429

Simplifying
m = -0.1428571429