6(-3m+1)=5(-2m-2)

Solution for 6(-3m+1)=5(-2m-2) equation:

Simplifying
6(-3m + 1) = 5(-2m + -2)

Reorder the terms:
6(1 + -3m) = 5(-2m + -2)
(1 * 6 + -3m * 6) = 5(-2m + -2)
(6 + -18m) = 5(-2m + -2)

Reorder the terms:
6 + -18m = 5(-2 + -2m)
6 + -18m = (-2 * 5 + -2m * 5)
6 + -18m = (-10 + -10m)

Solving
6 + -18m = -10 + -10m

Solving for variable 'm'.

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

Add '10m' to each side of the equation.
6 + -18m + 10m = -10 + -10m + 10m

Combine like terms: -18m + 10m = -8m
6 + -8m = -10 + -10m + 10m

Combine like terms: -10m + 10m = 0
6 + -8m = -10 + 0
6 + -8m = -10

Add '-6' to each side of the equation.
6 + -6 + -8m = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8m = -10 + -6
-8m = -10 + -6

Combine like terms: -10 + -6 = -16
-8m = -16

Divide each side by '-8'.
m = 2

Simplifying
m = 2