22=5c+3c-c+8

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Solution for 22=5c+3c-c+8 equation:


Simplifying
22 = 5c + 3c + -1c + 8

Reorder the terms:
22 = 8 + 5c + 3c + -1c

Combine like terms: 5c + 3c = 8c
22 = 8 + 8c + -1c

Combine like terms: 8c + -1c = 7c
22 = 8 + 7c

Solving
22 = 8 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
22 + -7c = 8 + 7c + -7c

Combine like terms: 7c + -7c = 0
22 + -7c = 8 + 0
22 + -7c = 8

Add '-22' to each side of the equation.
22 + -22 + -7c = 8 + -22

Combine like terms: 22 + -22 = 0
0 + -7c = 8 + -22
-7c = 8 + -22

Combine like terms: 8 + -22 = -14
-7c = -14

Divide each side by '-7'.
c = 2

Simplifying
c = 2

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