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

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


D( x )

5*x+1 = 0

2*x-1 = 0

5*x+1 = 0

5*x+1 = 0

5*x+1 = 0 // - 1

5*x = -1 // : 5

x = -1/5

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

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

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

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

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

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

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

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

-x-3 = 0

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

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

-x-3 = 0

-x-3 = 0 // + 3

-x = 3 // * -1

x = -3

x = -3

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