3x/(x-5)=5

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Solution for 3x/(x-5)=5 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)

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

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

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

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

25-2*x = 0

(25-2*x)/(x-5) = 0

(25-2*x)/(x-5) = 0 // * x-5

25-2*x = 0

25-2*x = 0 // - 25

-2*x = -25 // : -2

x = -25/(-2)

x = 25/2

x = 25/2

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