2c+3-3(c-8)=5+c

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Solution for 2c+3-3(c-8)=5+c equation: 


Simplifying
2c + 3 + -3(c + -8) = 5 + c

Reorder the terms:
2c + 3 + -3(-8 + c) = 5 + c
2c + 3 + (-8 * -3 + c * -3) = 5 + c
2c + 3 + (24 + -3c) = 5 + c

Reorder the terms:
3 + 24 + 2c + -3c = 5 + c

Combine like terms: 3 + 24 = 27
27 + 2c + -3c = 5 + c

Combine like terms: 2c + -3c = -1c
27 + -1c = 5 + c

Solving
27 + -1c = 5 + c

Solving for variable 'c'.

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

Add '-1c' to each side of the equation.
27 + -1c + -1c = 5 + c + -1c

Combine like terms: -1c + -1c = -2c
27 + -2c = 5 + c + -1c

Combine like terms: c + -1c = 0
27 + -2c = 5 + 0
27 + -2c = 5

Add '-27' to each side of the equation.
27 + -27 + -2c = 5 + -27

Combine like terms: 27 + -27 = 0
0 + -2c = 5 + -27
-2c = 5 + -27

Combine like terms: 5 + -27 = -22
-2c = -22

Divide each side by '-2'.
c = 11

Simplifying
c = 11

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