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

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Solution for (x)/(x-6)-7=6/(x-6) 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)

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

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

x/(x-6)-6*(x-6)^-1-7 = 0

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

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

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

x-7*x-6+42 = 0

36-6*x = 0

(36-6*x)/(x-6) = 0

(36-6*x)/(x-6) = 0 // * x-6

36-6*x = 0

36-6*x = 0 // - 36

-6*x = -36 // : -6

x = -36/(-6)

x = 6

x in { 6} 

x belongs to the empty set

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