6(6+c)=5(c-6)

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

Simplifying
6(6 + c) = 5(c + -6)
(6 * 6 + c * 6) = 5(c + -6)
(36 + 6c) = 5(c + -6)

Reorder the terms:
36 + 6c = 5(-6 + c)
36 + 6c = (-6 * 5 + c * 5)
36 + 6c = (-30 + 5c)

Solving
36 + 6c = -30 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
36 + 6c + -5c = -30 + 5c + -5c

Combine like terms: 6c + -5c = 1c
36 + 1c = -30 + 5c + -5c

Combine like terms: 5c + -5c = 0
36 + 1c = -30 + 0
36 + 1c = -30

Add '-36' to each side of the equation.
36 + -36 + 1c = -30 + -36

Combine like terms: 36 + -36 = 0
0 + 1c = -30 + -36
1c = -30 + -36

Combine like terms: -30 + -36 = -66
1c = -66

Divide each side by '1'.
c = -66

Simplifying
c = -66