exam Maths Puzzle Numerical Ability

Please help me solve this polynomial long division problem:

(2x-3)/(2x^3-9x^2+13x-6)

this is on a worksheet, not in a textbook.

thank you!

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I cant figure out how to solve ...
(x+4)/3x + (x+8)/5x = 2 I need help with this problem.
x/x-2 - x+1/1 = 8/xto the second power-2x Solve and check for x.
I have tried the following:
x(x-2)-1(x+1)=
x^-2x-1x+1=