2c+12=5c-27

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Solution for 2c+12=5c-27 equation:


Simplifying
2c + 12 = 5c + -27

Reorder the terms:
12 + 2c = 5c + -27

Reorder the terms:
12 + 2c = -27 + 5c

Solving
12 + 2c = -27 + 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.
12 + 2c + -5c = -27 + 5c + -5c

Combine like terms: 2c + -5c = -3c
12 + -3c = -27 + 5c + -5c

Combine like terms: 5c + -5c = 0
12 + -3c = -27 + 0
12 + -3c = -27

Add '-12' to each side of the equation.
12 + -12 + -3c = -27 + -12

Combine like terms: 12 + -12 = 0
0 + -3c = -27 + -12
-3c = -27 + -12

Combine like terms: -27 + -12 = -39
-3c = -39

Divide each side by '-3'.
c = 13

Simplifying
c = 13

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