You can put this solution on YOUR website! 9/5x - 4/x = 2/x-3 ----(1)
Multiplying by 5x(x-3) (which is the lcm of the drs)
9(x-3)-4X[5(x-3)]= 2X(5x)
9x-27-20(x-3) = 10x
9x-27-20x+60 = 10x
(9x-20x)+(60-27) = 10x
-11x+33 = 10x
33 = 10x+11x
33 =21x
That is 21x = 33
dividing by 21
x = 33/21 = 11/7
Answer: x = 11/7
Verificaion: x = 11/7 means (1/x)= 7/11
LHS of (1) = (9/5-4)X(1/x)
=[(9-20)/5]X(7/11)
=(-11)/5X7/11
=-7/5
RHS = 2/(x-3)
=2/[(11/7)-3]
=2/[(11-21)/7]
=2/[(-10)/7]
=2X[7/(-10)]
=-7/5
=LHS
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