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

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


D( x )

2*x-1 = 0

x+1 = 0

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

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

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

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

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

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

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

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

2*x^2-2*x^2+x-2*x+2 = 0

2-x = 0

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

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

2-x = 0

2-x = 0 // - 2

-x = -2 // * -1

x = 2

x = 2

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