4/(2x-5)=3/(x-2)

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Solution for 4/(2x-5)=3/(x-2) equation: 


D( x )

2*x-5 = 0

x-2 = 0

2*x-5 = 0

2*x-5 = 0

2*x-5 = 0 // + 5

2*x = 5 // : 2

x = 5/2

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

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

4/(2*x-5) = 3/(x-2) // - 3/(x-2)

4/(2*x-5)-(3/(x-2)) = 0

4/(2*x-5)-3*(x-2)^-1 = 0

4/(2*x-5)-3/(x-2) = 0

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

4*(x-2)-3*(2*x-5) = 0

7-2*x = 0

(7-2*x)/((2*x-5)*(x-2)) = 0

(7-2*x)/((2*x-5)*(x-2)) = 0 // * (2*x-5)*(x-2)

7-2*x = 0

7-2*x = 0 // - 7

-2*x = -7 // : -2

x = -7/(-2)

x = 7/2

x = 7/2

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