(1/(x-5))+10=(x/(x-5))

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Solution for (1/(x-5))+10=(x/(x-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)

1/(x-5)+10 = x/(x-5) // - x/(x-5)

1/(x-5)-(x/(x-5))+10 = 0

1/(x-5)+(-1*x)/(x-5)+10 = 0

1/(x-5)+(-1*x)/(x-5)+(10*(x-5))/(x-5) = 0

10*(x-5)-1*x+1 = 0

10*x-x-50+1 = 0

9*x-49 = 0

(9*x-49)/(x-5) = 0

(9*x-49)/(x-5) = 0 // * x-5

9*x-49 = 0

9*x-49 = 0 // + 49

9*x = 49 // : 9

x = 49/9

x = 49/9

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