1/(x-1)=2/3

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Solution for 1/(x-1)=2/3 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)

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

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

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

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

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

5-2*x = 0

(5-2*x)/(3*(x-1)) = 0

(5-2*x)/(3*(x-1)) = 0 // * 3*(x-1)

5-2*x = 0

5-2*x = 0 // - 5

-2*x = -5 // : -2

x = -5/(-2)

x = 5/2

x = 5/2

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