-6(c-1)=12(c+2)

Solution for -6(c-1)=12(c+2) equation:

Simplifying
-6(c + -1) = 12(c + 2)

Reorder the terms:
-6(-1 + c) = 12(c + 2)
(-1 * -6 + c * -6) = 12(c + 2)
(6 + -6c) = 12(c + 2)

Reorder the terms:
6 + -6c = 12(2 + c)
6 + -6c = (2 * 12 + c * 12)
6 + -6c = (24 + 12c)

Solving
6 + -6c = 24 + 12c

Solving for variable 'c'.

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

Add '-12c' to each side of the equation.
6 + -6c + -12c = 24 + 12c + -12c

Combine like terms: -6c + -12c = -18c
6 + -18c = 24 + 12c + -12c

Combine like terms: 12c + -12c = 0
6 + -18c = 24 + 0
6 + -18c = 24

Add '-6' to each side of the equation.
6 + -6 + -18c = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -18c = 24 + -6
-18c = 24 + -6

Combine like terms: 24 + -6 = 18
-18c = 18

Divide each side by '-18'.
c = -1

Simplifying
c = -1