4/(x-2)=2/3

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Solution for 4/(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)

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

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

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

(3*4)/(3*(x-2))+(-2*(x-2))/(3*(x-2)) = 0

3*4-2*(x-2) = 0

16-2*x = 0

(16-2*x)/(3*(x-2)) = 0

(16-2*x)/(3*(x-2)) = 0 // * 3*(x-2)

16-2*x = 0

16-2*x = 0 // - 16

-2*x = -16 // : -2

x = -16/(-2)

x = 8

x = 8

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