5c-2=3c+12

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Solution for 5c-2=3c+12 equation:


Simplifying
5c + -2 = 3c + 12

Reorder the terms:
-2 + 5c = 3c + 12

Reorder the terms:
-2 + 5c = 12 + 3c

Solving
-2 + 5c = 12 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
-2 + 5c + -3c = 12 + 3c + -3c

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

Combine like terms: 3c + -3c = 0
-2 + 2c = 12 + 0
-2 + 2c = 12

Add '2' to each side of the equation.
-2 + 2 + 2c = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 2c = 12 + 2
2c = 12 + 2

Combine like terms: 12 + 2 = 14
2c = 14

Divide each side by '2'.
c = 7

Simplifying
c = 7

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