6/(5x+1)=2/(2x-1)

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Solution for 6/(5x+1)=2/(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)

6/(5*x+1) = 2/(2*x-1) // - 2/(2*x-1)

6/(5*x+1)-(2/(2*x-1)) = 0

6/(5*x+1)-2*(2*x-1)^-1 = 0

6/(5*x+1)-2/(2*x-1) = 0

(6*(2*x-1))/((5*x+1)*(2*x-1))+(-2*(5*x+1))/((5*x+1)*(2*x-1)) = 0

6*(2*x-1)-2*(5*x+1) = 0

2*x-8 = 0

(2*x-8)/((5*x+1)*(2*x-1)) = 0

(2*x-8)/((5*x+1)*(2*x-1)) = 0 // * (5*x+1)*(2*x-1)

2*x-8 = 0

2*x-8 = 0 // + 8

2*x = 8 // : 2

x = 8/2

x = 4

x = 4

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