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

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

Simplifying
3(2 + -1c) = -1(c + 4)
(2 * 3 + -1c * 3) = -1(c + 4)
(6 + -3c) = -1(c + 4)

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

Solving
6 + -3c = -4 + -1c

Solving for variable 'c'.

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

Add 'c' to each side of the equation.
6 + -3c + c = -4 + -1c + c

Combine like terms: -3c + c = -2c
6 + -2c = -4 + -1c + c

Combine like terms: -1c + c = 0
6 + -2c = -4 + 0
6 + -2c = -4

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

Combine like terms: 6 + -6 = 0
0 + -2c = -4 + -6
-2c = -4 + -6

Combine like terms: -4 + -6 = -10
-2c = -10

Divide each side by '-2'.
c = 5

Simplifying
c = 5