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

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

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

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

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

Solving
6 + -18c = -10 + -10c

Solving for variable 'c'.

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

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

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

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

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

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

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

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

Simplifying
c = 2