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

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

x-2/x+3=3-2x^2-13/x^2-9(x-2)/(x+3)=3-(2x^2-13)/(x^2-9)
(x-2)/(x+3)=[3(x^2-9)-(2x^2-13)]/(x^2-9)
两边同时乘以(x^2-9)得
(x-2)（x-3）=x^2-14
-5x=-20
x=4

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