((x+1)/(2x-5))=3/4

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Solution for ((x+1)/(2x-5))=3/4 equation: 


D( x )

2*x-5 = 0

2*x-5 = 0

2*x-5 = 0

2*x-5 = 0 // + 5

2*x = 5 // : 2

x = 5/2

x in (-oo:5/2) U (5/2:+oo)

(x+1)/(2*x-5) = 3/4 // - 3/4

(x+1)/(2*x-5)-(3/4) = 0

(x+1)/(2*x-5)-3/4 = 0

(4*(x+1))/(4*(2*x-5))+(-3*(2*x-5))/(4*(2*x-5)) = 0

4*(x+1)-3*(2*x-5) = 0

19-2*x = 0

(19-2*x)/(4*(2*x-5)) = 0

(19-2*x)/(4*(2*x-5)) = 0 // * 4*(2*x-5)

19-2*x = 0

19-2*x = 0 // - 19

-2*x = -19 // : -2

x = -19/(-2)

x = 19/2

x = 19/2

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