(x-5)/x+(1/6)=2/x

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Solution for (x-5)/x+(1/6)=2/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(x-5)/x+1/6 = 2/x // - 2/x

(x-5)/x-(2/x)+1/6 = 0

(x-5)/x-2*x^-1+1/6 = 0

(x-5)/x-2/x+1/6 = 0

(6*(x-5))/(6*x)+(-2*6)/(6*x)+(1*x)/(6*x) = 0

6*(x-5)+1*x-2*6 = 0

6*x+x-42 = 0

7*x-42 = 0

(7*x-42)/(6*x) = 0

(7*x-42)/(6*x) = 0 // * 6*x

7*x-42 = 0

7*x-42 = 0 // + 42

7*x = 42 // : 7

x = 42/7

x = 6

x = 6

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