(X-5)/(x-1)=1/5

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


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(X-5)/(x-1) = 1/5 // - 1/5

(X-5)/(x-1)-(1/5) = 0

(X-5)/(x-1)-1/5 = 0

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

5*(X-5)-1*(x-1) = 0

5*X-x-24 = 0

(5*X-x-24)/(5*(x-1)) = 0

(5*X-x-24)/(5*(x-1)) = 0 // * 5*(x-1)

5*X-x-24 = 0

5*X-x-24 = 0 // - 5*X-24

-x = -(5*X-24) // * -1

x = 5*X-24

x = 5*X-24

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