6(c-8)=5(6+c)

Solution for 6(c-8)=5(6+c) equation:

Simplifying
6(c + -8) = 5(6 + c)

Reorder the terms:
6(-8 + c) = 5(6 + c)
(-8 * 6 + c * 6) = 5(6 + c)
(-48 + 6c) = 5(6 + c)
-48 + 6c = (6 * 5 + c * 5)
-48 + 6c = (30 + 5c)

Solving
-48 + 6c = 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.
-48 + 6c + -5c = 30 + 5c + -5c

Combine like terms: 6c + -5c = 1c
-48 + 1c = 30 + 5c + -5c

Combine like terms: 5c + -5c = 0
-48 + 1c = 30 + 0
-48 + 1c = 30

Add '48' to each side of the equation.
-48 + 48 + 1c = 30 + 48

Combine like terms: -48 + 48 = 0
0 + 1c = 30 + 48
1c = 30 + 48

Combine like terms: 30 + 48 = 78
1c = 78

Divide each side by '1'.
c = 78

Simplifying
c = 78