6(c+1)=2+5c

Solution for 6(c+1)=2+5c equation:

Simplifying
6(c + 1) = 2 + 5c

Reorder the terms:
6(1 + c) = 2 + 5c
(1 * 6 + c * 6) = 2 + 5c
(6 + 6c) = 2 + 5c

Solving
6 + 6c = 2 + 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.
6 + 6c + -5c = 2 + 5c + -5c

Combine like terms: 6c + -5c = 1c
6 + 1c = 2 + 5c + -5c

Combine like terms: 5c + -5c = 0
6 + 1c = 2 + 0
6 + 1c = 2

Add '-6' to each side of the equation.
6 + -6 + 1c = 2 + -6

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

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

Divide each side by '1'.
c = -4

Simplifying
c = -4