60-(3c+4)=(c+6)+c

Solution for 60-(3c+4)=(c+6)+c equation:

Simplifying
60 + -1(3c + 4) = (c + 6) + c

Reorder the terms:
60 + -1(4 + 3c) = (c + 6) + c
60 + (4 * -1 + 3c * -1) = (c + 6) + c
60 + (-4 + -3c) = (c + 6) + c

Combine like terms: 60 + -4 = 56
56 + -3c = (c + 6) + c

Reorder the terms:
56 + -3c = (6 + c) + c

Remove parenthesis around (6 + c)
56 + -3c = 6 + c + c

Combine like terms: c + c = 2c
56 + -3c = 6 + 2c

Solving
56 + -3c = 6 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
56 + -3c + -2c = 6 + 2c + -2c

Combine like terms: -3c + -2c = -5c
56 + -5c = 6 + 2c + -2c

Combine like terms: 2c + -2c = 0
56 + -5c = 6 + 0
56 + -5c = 6

Add '-56' to each side of the equation.
56 + -56 + -5c = 6 + -56

Combine like terms: 56 + -56 = 0
0 + -5c = 6 + -56
-5c = 6 + -56

Combine like terms: 6 + -56 = -50
-5c = -50

Divide each side by '-5'.
c = 10

Simplifying
c = 10