5/(2x-1)=3/x

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Solution for 5/(2x-1)=3/x equation: 


D( x )

x = 0

2*x-1 = 0

x = 0

x = 0

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:0) U (0:1/2) U (1/2:+oo)

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

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

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

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

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

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

3-x = 0

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

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

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x = 3

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