56-(2c+4)=4(c-6)+c

Solution for 56-(2c+4)=4(c-6)+c equation:

Simplifying
56 + -1(2c + 4) = 4(c + -6) + c

Reorder the terms:
56 + -1(4 + 2c) = 4(c + -6) + c
56 + (4 * -1 + 2c * -1) = 4(c + -6) + c
56 + (-4 + -2c) = 4(c + -6) + c

Combine like terms: 56 + -4 = 52
52 + -2c = 4(c + -6) + c

Reorder the terms:
52 + -2c = 4(-6 + c) + c
52 + -2c = (-6 * 4 + c * 4) + c
52 + -2c = (-24 + 4c) + c

Combine like terms: 4c + c = 5c
52 + -2c = -24 + 5c

Solving
52 + -2c = -24 + 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.
52 + -2c + -5c = -24 + 5c + -5c

Combine like terms: -2c + -5c = -7c
52 + -7c = -24 + 5c + -5c

Combine like terms: 5c + -5c = 0
52 + -7c = -24 + 0
52 + -7c = -24

Add '-52' to each side of the equation.
52 + -52 + -7c = -24 + -52

Combine like terms: 52 + -52 = 0
0 + -7c = -24 + -52
-7c = -24 + -52

Combine like terms: -24 + -52 = -76
-7c = -76

Divide each side by '-7'.
c = 10.85714286

Simplifying
c = 10.85714286