6+c=5(c-2)

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

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

Reorder the terms:
6 + c = 5(-2 + c)
6 + c = (-2 * 5 + c * 5)
6 + c = (-10 + 5c)

Solving
6 + c = -10 + 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 + c + -5c = -10 + 5c + -5c

Combine like terms: c + -5c = -4c
6 + -4c = -10 + 5c + -5c

Combine like terms: 5c + -5c = 0
6 + -4c = -10 + 0
6 + -4c = -10

Add '-6' to each side of the equation.
6 + -6 + -4c = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4c = -10 + -6
-4c = -10 + -6

Combine like terms: -10 + -6 = -16
-4c = -16

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

Simplifying
c = 4