33-(2c+4)=2(c+7)+c

Solution for 33-(2c+4)=2(c+7)+c equation:

Simplifying
33 + -1(2c + 4) = 2(c + 7) + c

Reorder the terms:
33 + -1(4 + 2c) = 2(c + 7) + c
33 + (4 * -1 + 2c * -1) = 2(c + 7) + c
33 + (-4 + -2c) = 2(c + 7) + c

Combine like terms: 33 + -4 = 29
29 + -2c = 2(c + 7) + c

Reorder the terms:
29 + -2c = 2(7 + c) + c
29 + -2c = (7 * 2 + c * 2) + c
29 + -2c = (14 + 2c) + c

Combine like terms: 2c + c = 3c
29 + -2c = 14 + 3c

Solving
29 + -2c = 14 + 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.
29 + -2c + -3c = 14 + 3c + -3c

Combine like terms: -2c + -3c = -5c
29 + -5c = 14 + 3c + -3c

Combine like terms: 3c + -3c = 0
29 + -5c = 14 + 0
29 + -5c = 14

Add '-29' to each side of the equation.
29 + -29 + -5c = 14 + -29

Combine like terms: 29 + -29 = 0
0 + -5c = 14 + -29
-5c = 14 + -29

Combine like terms: 14 + -29 = -15
-5c = -15

Divide each side by '-5'.
c = 3

Simplifying
c = 3