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 = 28m
6 + 28m = -10 + -10m + 10m

Combine like terms: -10m + 10m = 0
6 + 28m = -10 + 0
6 + 28m = -10

Add '-6' to each side of the equation.
6 + -6 + 28m = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 28m = -10 + -6
28m = -10 + -6

Combine like terms: -10 + -6 = -16
28m = -16

Divide each side by '28'.
m = -0.5714285714

Simplifying
m = -0.5714285714