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2x-9/x-5 - x+ 4x-5/x2 - 25
=2x-9/x-5 - (x+5)(x-1)/(x-5)(x+5)
=2x-9/x-5 - x-1/x-5 
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2 Answers

line 4 should be  =2x-9-x+1/x-5 because -(x-1)=-x+1
line 5 then would be x-8/x-5
by the way, try to use parentheses  to make your work easier
See the mistake in your Last but one step