38-(2c+3)=(c+5)+c

Solution for 38-(2c+3)=(c+5)+c equation:

Simplifying
38 + -1(2c + 3) = (c + 5) + c

Reorder the terms:
38 + -1(3 + 2c) = (c + 5) + c
38 + (3 * -1 + 2c * -1) = (c + 5) + c
38 + (-3 + -2c) = (c + 5) + c

Combine like terms: 38 + -3 = 35
35 + -2c = (c + 5) + c

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

Remove parenthesis around (5 + c)
35 + -2c = 5 + c + c

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

Solving
35 + -2c = 5 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
35 + -2c + -2c = 5 + 2c + -2c

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

Combine like terms: 2c + -2c = 0
35 + -4c = 5 + 0
35 + -4c = 5

Add '-35' to each side of the equation.
35 + -35 + -4c = 5 + -35

Combine like terms: 35 + -35 = 0
0 + -4c = 5 + -35
-4c = 5 + -35

Combine like terms: 5 + -35 = -30
-4c = -30

Divide each side by '-4'.
c = 7.5

Simplifying
c = 7.5