SOLUTION: What is 'n' in this expression? : n-10= 5/6n-7-2/6n (5/6n and 2/6n are both in fraction form) I tried every way I can think of to solve this, and I just can't get it! I really

Algebra ->  Expressions-with-variables -> SOLUTION: What is 'n' in this expression? : n-10= 5/6n-7-2/6n (5/6n and 2/6n are both in fraction form) I tried every way I can think of to solve this, and I just can't get it! I really       Log On


   

Question 525503: What is 'n' in this expression? : n-10= 5/6n-7-2/6n
(5/6n and 2/6n are both in fraction form)
I tried every way I can think of to solve this, and I just can't get it! I really need help, quick! In my Algebra book, it says that the answer is 5, but I always get 11 1/3. I even 'checked' the books answer, and it turned out correct! Thank You so much!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
n-10=%285%2F6%29n-7-%282%2F6%29n Start with the given equation.


Multiply EVERY term by the LCD 6 to clear out the fractions.


6n-60=5n-42-2n Multiply and simplify.


6n-60=3n-42 Combine like terms on the right side.


6n=3n-42%2B60 Add 60 to both sides.


6n-3n=-42%2B60 Subtract 3n from both sides.


3n=-42%2B60 Combine like terms on the left side.


3n=18 Combine like terms on the right side.


n=%2818%29%2F%283%29 Divide both sides by 3 to isolate n.


n=6 Reduce.


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Answer:

So the solution is n=6


Make sure that there are no typos.