SOLUTION: Question: Solve for x 2x+5/2x+3 = x+3/x-1 Thanks in advance

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Question 124185: Question:

Solve for x
2x+5/2x+3 = x+3/x-1
Thanks in advance
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

%282x%2B5%29%2F%282x%2B3%29 = %28x%2B3%29%2F%28x-1%29


By cross multiplying we get:

(2x + 5)(x - 1) = (x + 3)(2x + 3)

Simplifying the above equation using the distributive property, we get:


%282x%5E2+%2B+3x+-+5%29 = %282x%5E2+%2B+9x+%2B+9%29


Grouping all the terms we get:


3x - 5 - 9x - 9 = 0


-6x - 14 = 0

6x + 14 = 0

6x = -14

x = -14/6

x = -7/3

Thus, the solution.


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