6(6+c)=5(c+1)

Solution for 6(6+c)=5(c+1) equation:

Simplifying
6(6 + c) = 5(c + 1)
(6 * 6 + c * 6) = 5(c + 1)
(36 + 6c) = 5(c + 1)

Reorder the terms:
36 + 6c = 5(1 + c)
36 + 6c = (1 * 5 + c * 5)
36 + 6c = (5 + 5c)

Solving
36 + 6c = 5 + 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 = 5 + 5c + -5c

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

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

Add '-36' to each side of the equation.
36 + -36 + 1c = 5 + -36

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

Combine like terms: 5 + -36 = -31
1c = -31

Divide each side by '1'.
c = -31

Simplifying
c = -31