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

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


D( x )

2*x+3 = 0

2*x = 0

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0 // - 3

2*x = -3 // : 2

x = -3/2

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

x in (-oo:-3/2) U (-3/2:0) U (0:+oo)

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

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

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

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

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

3-x = 0

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

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

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x = 3

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