(20)/(x-6)=5/7

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Solution for (20)/(x-6)=5/7 equation: 


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

20/(x-6) = 5/7 // - 5/7

20/(x-6)-(5/7) = 0

20/(x-6)-5/7 = 0

(7*20)/(7*(x-6))+(-5*(x-6))/(7*(x-6)) = 0

7*20-5*(x-6) = 0

170-5*x = 0

(170-5*x)/(7*(x-6)) = 0

(170-5*x)/(7*(x-6)) = 0 // * 7*(x-6)

170-5*x = 0

170-5*x = 0 // - 170

-5*x = -170 // : -5

x = -170/(-5)

x = 34

x = 34

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