(x-9)/(7x-5)=2/10

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Solution for (x-9)/(7x-5)=2/10 equation: 


D( x )

7*x-5 = 0

7*x-5 = 0

7*x-5 = 0

7*x-5 = 0 // + 5

7*x = 5 // : 7

x = 5/7

x in (-oo:5/7) U (5/7:+oo)

(x-9)/(7*x-5) = 2/10 // - 2/10

(x-9)/(7*x-5)-(2/10) = 0

(x-9)/(7*x-5)-1/5 = 0

(5*(x-9))/(5*(7*x-5))+(-1*(7*x-5))/(5*(7*x-5)) = 0

5*(x-9)-1*(7*x-5) = 0

-2*x-40 = 0

(-2*x-40)/(5*(7*x-5)) = 0

(-2*x-40)/(5*(7*x-5)) = 0 // * 5*(7*x-5)

-2*x-40 = 0

-2*x-40 = 0 // + 40

-2*x = 40 // : -2

x = 40/(-2)

x = -20

x = -20

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