2/(x-3)=5/(2x-3)

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Solution for 2/(x-3)=5/(2x-3) equation: 


D( x )

2*x-3 = 0

x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3/2) U (3/2:3) U (3:+oo)

2/(x-3) = 5/(2*x-3) // - 5/(2*x-3)

2/(x-3)-(5/(2*x-3)) = 0

2/(x-3)-5*(2*x-3)^-1 = 0

2/(x-3)-5/(2*x-3) = 0

(2*(2*x-3))/((x-3)*(2*x-3))+(-5*(x-3))/((x-3)*(2*x-3)) = 0

2*(2*x-3)-5*(x-3) = 0

9-x = 0

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

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

9-x = 0

9-x = 0 // - 9

-x = -9 // * -1

x = 9

x = 9

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