52-(3c+4)=(4c+6)+c

Solution for 52-(3c+4)=(4c+6)+c equation:

Simplifying
52 + -1(3c + 4) = (4c + 6) + c

Reorder the terms:
52 + -1(4 + 3c) = (4c + 6) + c
52 + (4 * -1 + 3c * -1) = (4c + 6) + c
52 + (-4 + -3c) = (4c + 6) + c

Combine like terms: 52 + -4 = 48
48 + -3c = (4c + 6) + c

Reorder the terms:
48 + -3c = (6 + 4c) + c

Remove parenthesis around (6 + 4c)
48 + -3c = 6 + 4c + c

Combine like terms: 4c + c = 5c
48 + -3c = 6 + 5c

Solving
48 + -3c = 6 + 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 + -3c + -5c = 6 + 5c + -5c

Combine like terms: -3c + -5c = -8c
48 + -8c = 6 + 5c + -5c

Combine like terms: 5c + -5c = 0
48 + -8c = 6 + 0
48 + -8c = 6

Add '-48' to each side of the equation.
48 + -48 + -8c = 6 + -48

Combine like terms: 48 + -48 = 0
0 + -8c = 6 + -48
-8c = 6 + -48

Combine like terms: 6 + -48 = -42
-8c = -42

Divide each side by '-8'.
c = 5.25

Simplifying
c = 5.25