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

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


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

Remove parenthesis around (5 + c)
6 + 5 + c = 5(c + -6)

Combine like terms: 6 + 5 = 11
11 + c = 5(c + -6)

Reorder the terms:
11 + c = 5(-6 + c)
11 + c = (-6 * 5 + c * 5)
11 + c = (-30 + 5c)

Solving
11 + c = -30 + 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.
11 + c + -5c = -30 + 5c + -5c

Combine like terms: c + -5c = -4c
11 + -4c = -30 + 5c + -5c

Combine like terms: 5c + -5c = 0
11 + -4c = -30 + 0
11 + -4c = -30

Add '-11' to each side of the equation.
11 + -11 + -4c = -30 + -11

Combine like terms: 11 + -11 = 0
0 + -4c = -30 + -11
-4c = -30 + -11

Combine like terms: -30 + -11 = -41
-4c = -41

Divide each side by '-4'.
c = 10.25

Simplifying
c = 10.25

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