((4x-5)/(2x+1))=((2x-1)/(x+5))

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Solution for ((4x-5)/(2x+1))=((2x-1)/(x+5)) equation: 


D( x )

2*x+1 = 0

x+5 = 0

2*x+1 = 0

2*x+1 = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

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

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

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

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

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

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

15*x-24 = 0

(15*x-24)/((2*x+1)*(x+5)) = 0

(15*x-24)/((2*x+1)*(x+5)) = 0 // * (2*x+1)*(x+5)

15*x-24 = 0

15*x-24 = 0 // + 24

15*x = 24 // : 15

x = 24/15

x = 8/5

x = 8/5

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