55-(2c+3)=4(c+6)+c

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Solution for 55-(2c+3)=4(c+6)+c equation: 


Simplifying
55 + -1(2c + 3) = 4(c + 6) + c

Reorder the terms:
55 + -1(3 + 2c) = 4(c + 6) + c
55 + (3 * -1 + 2c * -1) = 4(c + 6) + c
55 + (-3 + -2c) = 4(c + 6) + c

Combine like terms: 55 + -3 = 52
52 + -2c = 4(c + 6) + c

Reorder the terms:
52 + -2c = 4(6 + c) + c
52 + -2c = (6 * 4 + c * 4) + c
52 + -2c = (24 + 4c) + c

Combine like terms: 4c + c = 5c
52 + -2c = 24 + 5c

Solving
52 + -2c = 24 + 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.
52 + -2c + -5c = 24 + 5c + -5c

Combine like terms: -2c + -5c = -7c
52 + -7c = 24 + 5c + -5c

Combine like terms: 5c + -5c = 0
52 + -7c = 24 + 0
52 + -7c = 24

Add '-52' to each side of the equation.
52 + -52 + -7c = 24 + -52

Combine like terms: 52 + -52 = 0
0 + -7c = 24 + -52
-7c = 24 + -52

Combine like terms: 24 + -52 = -28
-7c = -28

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

Simplifying
c = 4

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