37-(2c+4)=2(c+4)+c

Solution for 37-(2c+4)=2(c+4)+c equation:

Simplifying
37 + -1(2c + 4) = 2(c + 4) + c

Reorder the terms:
37 + -1(4 + 2c) = 2(c + 4) + c
37 + (4 * -1 + 2c * -1) = 2(c + 4) + c
37 + (-4 + -2c) = 2(c + 4) + c

Combine like terms: 37 + -4 = 33
33 + -2c = 2(c + 4) + c

Reorder the terms:
33 + -2c = 2(4 + c) + c
33 + -2c = (4 * 2 + c * 2) + c
33 + -2c = (8 + 2c) + c

Combine like terms: 2c + c = 3c
33 + -2c = 8 + 3c

Solving
33 + -2c = 8 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
33 + -2c + -3c = 8 + 3c + -3c

Combine like terms: -2c + -3c = -5c
33 + -5c = 8 + 3c + -3c

Combine like terms: 3c + -3c = 0
33 + -5c = 8 + 0
33 + -5c = 8

Add '-33' to each side of the equation.
33 + -33 + -5c = 8 + -33

Combine like terms: 33 + -33 = 0
0 + -5c = 8 + -33
-5c = 8 + -33

Combine like terms: 8 + -33 = -25
-5c = -25

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

Simplifying
c = 5