(3x-2)/(x-5)=16

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Solution for (3x-2)/(x-5)=16 equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

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

(3*x-2)/(x-5) = 16 // - 16

(3*x-2)/(x-5)-16 = 0

(3*x-2)/(x-5)+(-16*(x-5))/(x-5) = 0

3*x-16*(x-5)-2 = 0

78-13*x = 0

(78-13*x)/(x-5) = 0

(78-13*x)/(x-5) = 0 // * x-5

78-13*x = 0

78-13*x = 0 // - 78

-13*x = -78 // : -13

x = -78/(-13)

x = 6

x = 6

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