(2x-1)/(x-2)=3/4

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Solution for (2x-1)/(x-2)=3/4 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)

(2*x-1)/(x-2) = 3/4 // - 3/4

(2*x-1)/(x-2)-(3/4) = 0

(2*x-1)/(x-2)-3/4 = 0

(4*(2*x-1))/(4*(x-2))+(-3*(x-2))/(4*(x-2)) = 0

4*(2*x-1)-3*(x-2) = 0

5*x+2 = 0

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

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

5*x+2 = 0

5*x+2 = 0 // - 2

5*x = -2 // : 5

x = -2/5

x = -2/5

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