38-(2c-4)=4(c+5)+c

Solution for 38-(2c-4)=4(c+5)+c equation:

Simplifying
38 + -1(2c + -4) = 4(c + 5) + c

Reorder the terms:
38 + -1(-4 + 2c) = 4(c + 5) + c
38 + (-4 * -1 + 2c * -1) = 4(c + 5) + c
38 + (4 + -2c) = 4(c + 5) + c

Combine like terms: 38 + 4 = 42
42 + -2c = 4(c + 5) + c

Reorder the terms:
42 + -2c = 4(5 + c) + c
42 + -2c = (5 * 4 + c * 4) + c
42 + -2c = (20 + 4c) + c

Combine like terms: 4c + c = 5c
42 + -2c = 20 + 5c

Solving
42 + -2c = 20 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
42 + -2c + -5c = 20 + 5c + -5c

Combine like terms: -2c + -5c = -7c
42 + -7c = 20 + 5c + -5c

Combine like terms: 5c + -5c = 0
42 + -7c = 20 + 0
42 + -7c = 20

Add '-42' to each side of the equation.
42 + -42 + -7c = 20 + -42

Combine like terms: 42 + -42 = 0
0 + -7c = 20 + -42
-7c = 20 + -42

Combine like terms: 20 + -42 = -22
-7c = -22

Divide each side by '-7'.
c = 3.142857143

Simplifying
c = 3.142857143