12c-2(c+1)=8c+22

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Solution for 12c-2(c+1)=8c+22 equation:


Simplifying
12c + -2(c + 1) = 8c + 22

Reorder the terms:
12c + -2(1 + c) = 8c + 22
12c + (1 * -2 + c * -2) = 8c + 22
12c + (-2 + -2c) = 8c + 22

Reorder the terms:
-2 + 12c + -2c = 8c + 22

Combine like terms: 12c + -2c = 10c
-2 + 10c = 8c + 22

Reorder the terms:
-2 + 10c = 22 + 8c

Solving
-2 + 10c = 22 + 8c

Solving for variable 'c'.

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

Add '-8c' to each side of the equation.
-2 + 10c + -8c = 22 + 8c + -8c

Combine like terms: 10c + -8c = 2c
-2 + 2c = 22 + 8c + -8c

Combine like terms: 8c + -8c = 0
-2 + 2c = 22 + 0
-2 + 2c = 22

Add '2' to each side of the equation.
-2 + 2 + 2c = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 2c = 22 + 2
2c = 22 + 2

Combine like terms: 22 + 2 = 24
2c = 24

Divide each side by '2'.
c = 12

Simplifying
c = 12

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