x/(x-2)=9/5

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Solution for x/(x-2)=9/5 equation: 


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

x/(x-2) = 9/5 // - 9/5

x/(x-2)-(9/5) = 0

x/(x-2)-9/5 = 0

(5*x)/(5*(x-2))+(-9*(x-2))/(5*(x-2)) = 0

5*x-9*(x-2) = 0

18-4*x = 0

(18-4*x)/(5*(x-2)) = 0

(18-4*x)/(5*(x-2)) = 0 // * 5*(x-2)

18-4*x = 0

18-4*x = 0 // - 18

-4*x = -18 // : -4

x = -18/(-4)

x = 9/2

x = 9/2

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