7(c-8)+24=(c-6)

Solution for 7(c-8)+24=(c-6) equation:

Simplifying
7(c + -8) + 24 = (c + -6)

Reorder the terms:
7(-8 + c) + 24 = (c + -6)
(-8 * 7 + c * 7) + 24 = (c + -6)
(-56 + 7c) + 24 = (c + -6)

Reorder the terms:
-56 + 24 + 7c = (c + -6)

Combine like terms: -56 + 24 = -32
-32 + 7c = (c + -6)

Reorder the terms:
-32 + 7c = (-6 + c)

Remove parenthesis around (-6 + c)
-32 + 7c = -6 + c

Solving
-32 + 7c = -6 + c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1c' to each side of the equation.
-32 + 7c + -1c = -6 + c + -1c

Combine like terms: 7c + -1c = 6c
-32 + 6c = -6 + c + -1c

Combine like terms: c + -1c = 0
-32 + 6c = -6 + 0
-32 + 6c = -6

Add '32' to each side of the equation.
-32 + 32 + 6c = -6 + 32

Combine like terms: -32 + 32 = 0
0 + 6c = -6 + 32
6c = -6 + 32

Combine like terms: -6 + 32 = 26
6c = 26

Divide each side by '6'.
c = 4.333333333

Simplifying
c = 4.333333333