1/(x-2)=2/3

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

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

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

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

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

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

7-2*x = 0

(7-2*x)/(3*(x-2)) = 0

(7-2*x)/(3*(x-2)) = 0 // * 3*(x-2)

7-2*x = 0

7-2*x = 0 // - 7

-2*x = -7 // : -2

x = -7/(-2)

x = 7/2

x = 7/2

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