SOLUTION: can you please help me solve: (((24/x-3 = 72/x+3)))

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Question 173967This question is from textbook Algebra structure and method book 1
: can you please help me solve: (((24/x-3 = 72/x+3))) This question is from textbook Algebra structure and method book 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
24%2F%28x-3%29+=+72%2F%28x%2B3%29 Start with the given equation


24%28x%2B3%29=+72%28x-3%29 Cross Multiply


24x%2B72=72x-216 Distribute.


24x=72x-216-72 Subtract 72 from both sides.


24x-72x=-216-72 Subtract 72x from both sides.


-48x=-216-72 Combine like terms on the left side.


-48x=-288 Combine like terms on the right side.


x=%28-288%29%2F%28-48%29 Divide both sides by -48 to isolate x.


x=6 Reduce.


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Answer:

So the answer is x=6