38-(2c+4)=2(c+7)+c

Solution for 38-(2c+4)=2(c+7)+c equation:

Simplifying
38 + -1(2c + 4) = 2(c + 7) + c

Reorder the terms:
38 + -1(4 + 2c) = 2(c + 7) + c
38 + (4 * -1 + 2c * -1) = 2(c + 7) + c
38 + (-4 + -2c) = 2(c + 7) + c

Combine like terms: 38 + -4 = 34
34 + -2c = 2(c + 7) + c

Reorder the terms:
34 + -2c = 2(7 + c) + c
34 + -2c = (7 * 2 + c * 2) + c
34 + -2c = (14 + 2c) + c

Combine like terms: 2c + c = 3c
34 + -2c = 14 + 3c

Solving
34 + -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.
34 + -2c + -3c = 14 + 3c + -3c

Combine like terms: -2c + -3c = -5c
34 + -5c = 14 + 3c + -3c

Combine like terms: 3c + -3c = 0
34 + -5c = 14 + 0
34 + -5c = 14

Add '-34' to each side of the equation.
34 + -34 + -5c = 14 + -34

Combine like terms: 34 + -34 = 0
0 + -5c = 14 + -34
-5c = 14 + -34

Combine like terms: 14 + -34 = -20
-5c = -20

Divide each side by '-5'.
c = 4

Simplifying
c = 4