59-(2c+3)=4(c+7)+c

Solution for 59-(2c+3)=4(c+7)+c equation:

Simplifying
59 + -1(2c + 3) = 4(c + 7) + c

Reorder the terms:
59 + -1(3 + 2c) = 4(c + 7) + c
59 + (3 * -1 + 2c * -1) = 4(c + 7) + c
59 + (-3 + -2c) = 4(c + 7) + c

Combine like terms: 59 + -3 = 56
56 + -2c = 4(c + 7) + c

Reorder the terms:
56 + -2c = 4(7 + c) + c
56 + -2c = (7 * 4 + c * 4) + c
56 + -2c = (28 + 4c) + c

Combine like terms: 4c + c = 5c
56 + -2c = 28 + 5c

Solving
56 + -2c = 28 + 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.
56 + -2c + -5c = 28 + 5c + -5c

Combine like terms: -2c + -5c = -7c
56 + -7c = 28 + 5c + -5c

Combine like terms: 5c + -5c = 0
56 + -7c = 28 + 0
56 + -7c = 28

Add '-56' to each side of the equation.
56 + -56 + -7c = 28 + -56

Combine like terms: 56 + -56 = 0
0 + -7c = 28 + -56
-7c = 28 + -56

Combine like terms: 28 + -56 = -28
-7c = -28

Divide each side by '-7'.
c = 4

Simplifying
c = 4