(3x-4)/(x-2)=5/6

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Solution for (3x-4)/(x-2)=5/6 equation: 


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

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

(3*x-4)/(x-2) = 5/6 // - 5/6

(3*x-4)/(x-2)-(5/6) = 0

(3*x-4)/(x-2)-5/6 = 0

(6*(3*x-4))/(6*(x-2))+(-5*(x-2))/(6*(x-2)) = 0

6*(3*x-4)-5*(x-2) = 0

13*x-14 = 0

(13*x-14)/(6*(x-2)) = 0

(13*x-14)/(6*(x-2)) = 0 // * 6*(x-2)

13*x-14 = 0

13*x-14 = 0 // + 14

13*x = 14 // : 13

x = 14/13

x = 14/13

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