-2(c-3)=4(c+6)

Solution for -2(c-3)=4(c+6) equation:

Simplifying
-2(c + -3) = 4(c + 6)

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

Reorder the terms:
6 + -2c = 4(6 + c)
6 + -2c = (6 * 4 + c * 4)
6 + -2c = (24 + 4c)

Solving
6 + -2c = 24 + 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 = 24 + 4c + -4c

Combine like terms: -2c + -4c = -6c
6 + -6c = 24 + 4c + -4c

Combine like terms: 4c + -4c = 0
6 + -6c = 24 + 0
6 + -6c = 24

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

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

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

Divide each side by '-6'.
c = -3

Simplifying
c = -3