SOLUTION: If the quotient of a number and 6 is added to twice the number, the result is 8 less than the number. Find the number. I set it up like x/6 +2x = x-8, but when I check it it does

Question 84879: If the quotient of a number and 6 is added to twice the number, the result is 8 less than the number. Find the number.
I set it up like x/6 +2x = x-8, but when I check it it doesn't equal.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Your initial set-up is quite ok!
Simplify by multiplying through by 6.
Combine like-terms.
Subtract 6x from both sides.
Finally, divide both sides by 7.

Check: Substitute
Simplify.

It checks!

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