37-(2c+3)=4(c+5)+c

Solution for 37-(2c+3)=4(c+5)+c equation:

Simplifying
37 + -1(2c + 3) = 4(c + 5) + c

Reorder the terms:
37 + -1(3 + 2c) = 4(c + 5) + c
37 + (3 * -1 + 2c * -1) = 4(c + 5) + c
37 + (-3 + -2c) = 4(c + 5) + c

Combine like terms: 37 + -3 = 34
34 + -2c = 4(c + 5) + c

Reorder the terms:
34 + -2c = 4(5 + c) + c
34 + -2c = (5 * 4 + c * 4) + c
34 + -2c = (20 + 4c) + c

Combine like terms: 4c + c = 5c
34 + -2c = 20 + 5c

Solving
34 + -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.
34 + -2c + -5c = 20 + 5c + -5c

Combine like terms: -2c + -5c = -7c
34 + -7c = 20 + 5c + -5c

Combine like terms: 5c + -5c = 0
34 + -7c = 20 + 0
34 + -7c = 20

Add '-34' to each side of the equation.
34 + -34 + -7c = 20 + -34

Combine like terms: 34 + -34 = 0
0 + -7c = 20 + -34
-7c = 20 + -34

Combine like terms: 20 + -34 = -14
-7c = -14

Divide each side by '-7'.
c = 2

Simplifying
c = 2