(3x-2)/(1-x)=(14/3)

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Solution for (3x-2)/(1-x)=(14/3) equation: 


D( x )

1-x = 0

1-x = 0

1-x = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

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

(3*x-2)/(1-x) = 14/3 // - 14/3

(3*x-2)/(1-x)-(14/3) = 0

(3*x-2)/(1-x)-14/3 = 0

(3*(3*x-2))/(3*(1-x))+(-14*(1-x))/(3*(1-x)) = 0

3*(3*x-2)-14*(1-x) = 0

23*x-20 = 0

(23*x-20)/(3*(1-x)) = 0

(23*x-20)/(3*(1-x)) = 0 // * 3*(1-x)

23*x-20 = 0

23*x-20 = 0 // + 20

23*x = 20 // : 23

x = 20/23

x = 20/23

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