SOLUTION: 5/2x-3 = 3/x-5 no idea how to work it out

Question 51226: 5/2x-3 = 3/x-5
no idea how to work it out
Found 2 solutions by rapaljer, mathchemprofessor:
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Anytime you have a fraction equal to a fraction, like this:, remember that

means that

means that

Now, 5x-25 =6x - 9

Subtract 5x from each side to get all the x terms on the right side:
5x-5x -25= 6x-5x-9
-25 = x-9

Next, add +9 to each side:
-25+9 = x-9+9
-16=x

Check by substituting back into the original equation:

It checks!!

R^2 at SCC

Answer by mathchemprofessor(65) (Show Source): You can put this solution on YOUR website!
5/2x-3 = 3/x-5
Multiplying both sides by (2x-3)*(x-5),we get,
(5/2x-3)*(2x-3)(x-5)=(3/x-5)*(2x-3)(x-5)
On simplication,we have
5(x-5)=3(2x-3)
5x-25=6x-9
5x-6x=-9+25
-x=16
Multiplying both sides by -1,it becomes
x=-16
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