Question

1/2x-3+1/x-5=1 1/9,x≠3/2,5​

Answer 1

1/2x-3+1/x-5=11

x-5+2x-3/(2x-3)(x-5)=11

3x-8/2x²-10x-3x+15=11

3x-8/2x²-13x+15=11

3x-8=11(2x²-13x+15)

3x-8=22x²-143x+165

22x²-143x-3x+165+8=0

22x²-146x+173=0

Hope it will help you