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

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

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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 1c = 5 + 6

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

Combine like terms: 5 + 6 = 11
1c = 11

Divide each side by '1'.
c = 11

Simplifying
c = 11