52-(2c+3)=4(c+7)+c

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Solution for 52-(2c+3)=4(c+7)+c equation: 


Simplifying
52 + -1(2c + 3) = 4(c + 7) + c

Reorder the terms:
52 + -1(3 + 2c) = 4(c + 7) + c
52 + (3 * -1 + 2c * -1) = 4(c + 7) + c
52 + (-3 + -2c) = 4(c + 7) + c

Combine like terms: 52 + -3 = 49
49 + -2c = 4(c + 7) + c

Reorder the terms:
49 + -2c = 4(7 + c) + c
49 + -2c = (7 * 4 + c * 4) + c
49 + -2c = (28 + 4c) + c

Combine like terms: 4c + c = 5c
49 + -2c = 28 + 5c

Solving
49 + -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.
49 + -2c + -5c = 28 + 5c + -5c

Combine like terms: -2c + -5c = -7c
49 + -7c = 28 + 5c + -5c

Combine like terms: 5c + -5c = 0
49 + -7c = 28 + 0
49 + -7c = 28

Add '-49' to each side of the equation.
49 + -49 + -7c = 28 + -49

Combine like terms: 49 + -49 = 0
0 + -7c = 28 + -49
-7c = 28 + -49

Combine like terms: 28 + -49 = -21
-7c = -21

Divide each side by '-7'.
c = 3

Simplifying
c = 3

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