5c-2=c+10

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Solution for 5c-2=c+10 equation:


Simplifying
5c + -2 = c + 10

Reorder the terms:
-2 + 5c = c + 10

Reorder the terms:
-2 + 5c = 10 + c

Solving
-2 + 5c = 10 + 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.
-2 + 5c + -1c = 10 + c + -1c

Combine like terms: 5c + -1c = 4c
-2 + 4c = 10 + c + -1c

Combine like terms: c + -1c = 0
-2 + 4c = 10 + 0
-2 + 4c = 10

Add '2' to each side of the equation.
-2 + 2 + 4c = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 4c = 10 + 2
4c = 10 + 2

Combine like terms: 10 + 2 = 12
4c = 12

Divide each side by '4'.
c = 3

Simplifying
c = 3

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