SOLUTION: show me how to solve this problem 2/8=n+4/n-4 and provide the answer thank you in advance for your help um 1

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Question 168811: show me how to solve this problem
2/8=n+4/n-4 and provide the answer thank you in advance for your help um 1
Found 2 solutions by mathishard2do, jim_thompson5910:
Answer by mathishard2do(2) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F8=%28n%2B4%29%2F%28n-4%29 Start with the given equation.


2%28n-4%29=8%28n%2B4%29 Cross multiply.


2n-8=8n%2B32 Distribute.


2n=8n%2B32%2B8 Add 8 to both sides.


2n-8n=32%2B8 Subtract 8n from both sides.


-6n=32%2B8 Combine like terms on the left side.


-6n=40 Combine like terms on the right side.


n=%2840%29%2F%28-6%29 Divide both sides by -6 to isolate n.


n=-20%2F3 Reduce.


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Answer:

So the answer is n=-20%2F3 which approximates to n=-6.667.