2/(x-22)=5/(x-2)

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Solution for 2/(x-22)=5/(x-2) equation: 


D( x )

x-2 = 0

x-22 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x-22 = 0

x-22 = 0

x-22 = 0 // + 22

x = 22

x in (-oo:2) U (2:22) U (22:+oo)

2/(x-22) = 5/(x-2) // - 5/(x-2)

2/(x-22)-(5/(x-2)) = 0

2/(x-22)-5*(x-2)^-1 = 0

2/(x-22)-5/(x-2) = 0

(2*(x-2))/((x-22)*(x-2))+(-5*(x-22))/((x-22)*(x-2)) = 0

2*(x-2)-5*(x-22) = 0

106-3*x = 0

(106-3*x)/((x-22)*(x-2)) = 0

(106-3*x)/((x-22)*(x-2)) = 0 // * (x-22)*(x-2)

106-3*x = 0

106-3*x = 0 // - 106

-3*x = -106 // : -3

x = -106/(-3)

x = 106/3

x = 106/3

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