6(1-c)=5(c-4)

Solution for 6(1-c)=5(c-4) equation:

Simplifying
6(1 + -1c) = 5(c + -4)
(1 * 6 + -1c * 6) = 5(c + -4)
(6 + -6c) = 5(c + -4)

Reorder the terms:
6 + -6c = 5(-4 + c)
6 + -6c = (-4 * 5 + c * 5)
6 + -6c = (-20 + 5c)

Solving
6 + -6c = -20 + 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 = -20 + 5c + -5c

Combine like terms: -6c + -5c = -11c
6 + -11c = -20 + 5c + -5c

Combine like terms: 5c + -5c = 0
6 + -11c = -20 + 0
6 + -11c = -20

Add '-6' to each side of the equation.
6 + -6 + -11c = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -11c = -20 + -6
-11c = -20 + -6

Combine like terms: -20 + -6 = -26
-11c = -26

Divide each side by '-11'.
c = 2.363636364

Simplifying
c = 2.363636364