(x-5)/x-3/7=5/x

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Solution for (x-5)/x-3/7=5/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(x-5)/x-(3/7) = 5/x // - 5/x

(x-5)/x-(5/x)-(3/7) = 0

(x-5)/x-5*x^-1-3/7 = 0

(x-5)/x-5/x-3/7 = 0

(7*(x-5))/(7*x)+(-5*7)/(7*x)+(-3*x)/(7*x) = 0

7*(x-5)-3*x-5*7 = 0

7*x-3*x-70 = 0

4*x-70 = 0

(4*x-70)/(7*x) = 0

(4*x-70)/(7*x) = 0 // * 7*x

4*x-70 = 0

4*x-70 = 0 // + 70

4*x = 70 // : 4

x = 70/4

x = 35/2

x = 35/2

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