x/(x-5)=3/7

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


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

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

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

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

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

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

4*x+15 = 0

(4*x+15)/(7*(x-5)) = 0

(4*x+15)/(7*(x-5)) = 0 // * 7*(x-5)

4*x+15 = 0

4*x+15 = 0 // - 15

4*x = -15 // : 4

x = -15/4

x = -15/4

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