52-(2c+4)=4(c+6)+c

Solution for 52-(2c+4)=4(c+6)+c equation:

Simplifying
52 + -1(2c + 4) = 4(c + 6) + c

Reorder the terms:
52 + -1(4 + 2c) = 4(c + 6) + c
52 + (4 * -1 + 2c * -1) = 4(c + 6) + c
52 + (-4 + -2c) = 4(c + 6) + c

Combine like terms: 52 + -4 = 48
48 + -2c = 4(c + 6) + c

Reorder the terms:
48 + -2c = 4(6 + c) + c
48 + -2c = (6 * 4 + c * 4) + c
48 + -2c = (24 + 4c) + c

Combine like terms: 4c + c = 5c
48 + -2c = 24 + 5c

Solving
48 + -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.
48 + -2c + -5c = 24 + 5c + -5c

Combine like terms: -2c + -5c = -7c
48 + -7c = 24 + 5c + -5c

Combine like terms: 5c + -5c = 0
48 + -7c = 24 + 0
48 + -7c = 24

Add '-48' to each side of the equation.
48 + -48 + -7c = 24 + -48

Combine like terms: 48 + -48 = 0
0 + -7c = 24 + -48
-7c = 24 + -48

Combine like terms: 24 + -48 = -24
-7c = -24

Divide each side by '-7'.
c = 3.428571429

Simplifying
c = 3.428571429