(8X-5)/(X-1)=10/6

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Solution for (8X-5)/(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-5)/(X-1) = 10/6 // - 10/6

(8*X-5)/(X-1)-(10/6) = 0

(8*X-5)/(X-1)-5/3 = 0

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

3*(8*X-5)-5*(X-1) = 0

19*X-10 = 0

(19*X-10)/(3*(X-1)) = 0

(19*X-10)/(3*(X-1)) = 0 // * 3*(X-1)

19*X-10 = 0

19*X-10 = 0 // + 10

19*X = 10 // : 19

X = 10/19

X = 10/19

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