3(c+6)=6+c

Solution for 3(c+6)=6+c equation:

Simplifying
3(c + 6) = 6 + c

Reorder the terms:
3(6 + c) = 6 + c
(6 * 3 + c * 3) = 6 + c
(18 + 3c) = 6 + c

Solving
18 + 3c = 6 + c

Solving for variable 'c'.

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

Add '-1c' to each side of the equation.
18 + 3c + -1c = 6 + c + -1c

Combine like terms: 3c + -1c = 2c
18 + 2c = 6 + c + -1c

Combine like terms: c + -1c = 0
18 + 2c = 6 + 0
18 + 2c = 6

Add '-18' to each side of the equation.
18 + -18 + 2c = 6 + -18

Combine like terms: 18 + -18 = 0
0 + 2c = 6 + -18
2c = 6 + -18

Combine like terms: 6 + -18 = -12
2c = -12

Divide each side by '2'.
c = -6

Simplifying
c = -6