5(c+6)=6+c

Solution for 5(c+6)=6+c equation:

Simplifying
5(c + 6) = 6 + c

Reorder the terms:
5(6 + c) = 6 + c
(6 * 5 + c * 5) = 6 + c
(30 + 5c) = 6 + c

Solving
30 + 5c = 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.
30 + 5c + -1c = 6 + c + -1c

Combine like terms: 5c + -1c = 4c
30 + 4c = 6 + c + -1c

Combine like terms: c + -1c = 0
30 + 4c = 6 + 0
30 + 4c = 6

Add '-30' to each side of the equation.
30 + -30 + 4c = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 4c = 6 + -30
4c = 6 + -30

Combine like terms: 6 + -30 = -24
4c = -24

Divide each side by '4'.
c = -6

Simplifying
c = -6