(8x-6)/(x-1)=10/6

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Solution for (8x-6)/(x-1)=10/6 equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(8*x-6)/(x-1) = 10/6 // - 10/6

(8*x-6)/(x-1)-(10/6) = 0

(8*x-6)/(x-1)-5/3 = 0

(3*(8*x-6))/(3*(x-1))+(-5*(x-1))/(3*(x-1)) = 0

3*(8*x-6)-5*(x-1) = 0

19*x-13 = 0

(19*x-13)/(3*(x-1)) = 0

(19*x-13)/(3*(x-1)) = 0 // * 3*(x-1)

19*x-13 = 0

19*x-13 = 0 // + 13

19*x = 13 // : 19

x = 13/19

x = 13/19

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