2(-c+3)=-4(-c-12)

Solution for 2(-c+3)=-4(-c-12) equation:

Simplifying
2(-1c + 3) = -4(-1c + -12)

Reorder the terms:
2(3 + -1c) = -4(-1c + -12)
(3 * 2 + -1c * 2) = -4(-1c + -12)
(6 + -2c) = -4(-1c + -12)

Reorder the terms:
6 + -2c = -4(-12 + -1c)
6 + -2c = (-12 * -4 + -1c * -4)
6 + -2c = (48 + 4c)

Solving
6 + -2c = 48 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
6 + -2c + -4c = 48 + 4c + -4c

Combine like terms: -2c + -4c = -6c
6 + -6c = 48 + 4c + -4c

Combine like terms: 4c + -4c = 0
6 + -6c = 48 + 0
6 + -6c = 48

Add '-6' to each side of the equation.
6 + -6 + -6c = 48 + -6

Combine like terms: 6 + -6 = 0
0 + -6c = 48 + -6
-6c = 48 + -6

Combine like terms: 48 + -6 = 42
-6c = 42

Divide each side by '-6'.
c = -7

Simplifying
c = -7