(3x/(x-3))=5-(9/(x-3))

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Solution for (3x/(x-3))=5-(9/(x-3)) equation: 


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

(3*x)/(x-3) = 5-(9/(x-3)) // - 5-(9/(x-3))

(3*x)/(x-3)+9/(x-3)-5 = 0

(3*x)/(x-3)+9/(x-3)+(-5*(x-3))/(x-3) = 0

3*x-5*(x-3)+9 = 0

3*x-5*x+9+15 = 0

24-2*x = 0

(24-2*x)/(x-3) = 0

(24-2*x)/(x-3) = 0 // * x-3

24-2*x = 0

24-2*x = 0 // - 24

-2*x = -24 // : -2

x = -24/(-2)

x = 12

x = 12

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