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

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


D( x )

2*x-5 = 0

2*x-1 = 0

2*x-5 = 0

2*x-5 = 0

2*x-5 = 0 // + 5

2*x = 5 // : 2

x = 5/2

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:1/2) U (1/2:5/2) U (5/2:+oo)

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

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

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

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

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

15-2*x = 0

(15-2*x)/((2*x-5)*(2*x-1)) = 0

(15-2*x)/((2*x-5)*(2*x-1)) = 0 // * (2*x-5)*(2*x-1)

15-2*x = 0

15-2*x = 0 // - 15

-2*x = -15 // : -2

x = -15/(-2)

x = 15/2

x = 15/2

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