39-(2c+4)=2(c+5)+c

Solution for 39-(2c+4)=2(c+5)+c equation:

Simplifying
39 + -1(2c + 4) = 2(c + 5) + c

Reorder the terms:
39 + -1(4 + 2c) = 2(c + 5) + c
39 + (4 * -1 + 2c * -1) = 2(c + 5) + c
39 + (-4 + -2c) = 2(c + 5) + c

Combine like terms: 39 + -4 = 35
35 + -2c = 2(c + 5) + c

Reorder the terms:
35 + -2c = 2(5 + c) + c
35 + -2c = (5 * 2 + c * 2) + c
35 + -2c = (10 + 2c) + c

Combine like terms: 2c + c = 3c
35 + -2c = 10 + 3c

Solving
35 + -2c = 10 + 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.
35 + -2c + -3c = 10 + 3c + -3c

Combine like terms: -2c + -3c = -5c
35 + -5c = 10 + 3c + -3c

Combine like terms: 3c + -3c = 0
35 + -5c = 10 + 0
35 + -5c = 10

Add '-35' to each side of the equation.
35 + -35 + -5c = 10 + -35

Combine like terms: 35 + -35 = 0
0 + -5c = 10 + -35
-5c = 10 + -35

Combine like terms: 10 + -35 = -25
-5c = -25

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

Simplifying
c = 5