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

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Solution for 2/(2x-5)=3/(x+1) equation: 


D( x )

2*x-5 = 0

x+1 = 0

2*x-5 = 0

2*x-5 = 0

2*x-5 = 0 // + 5

2*x = 5 // : 2

x = 5/2

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

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

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

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

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

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

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

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

17-4*x = 0

(17-4*x)/((2*x-5)*(x+1)) = 0

(17-4*x)/((2*x-5)*(x+1)) = 0 // * (2*x-5)*(x+1)

17-4*x = 0

17-4*x = 0 // - 17

-4*x = -17 // : -4

x = -17/(-4)

x = 17/4

x = 17/4

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