((4x+5)/(5x-8))=13/9

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Solution for ((4x+5)/(5x-8))=13/9 equation: 


D( x )

5*x-8 = 0

5*x-8 = 0

5*x-8 = 0

5*x-8 = 0 // + 8

5*x = 8 // : 5

x = 8/5

x in (-oo:8/5) U (8/5:+oo)

(4*x+5)/(5*x-8) = 13/9 // - 13/9

(4*x+5)/(5*x-8)-(13/9) = 0

(4*x+5)/(5*x-8)-13/9 = 0

(9*(4*x+5))/(9*(5*x-8))+(-13*(5*x-8))/(9*(5*x-8)) = 0

9*(4*x+5)-13*(5*x-8) = 0

149-29*x = 0

(149-29*x)/(9*(5*x-8)) = 0

(149-29*x)/(9*(5*x-8)) = 0 // * 9*(5*x-8)

149-29*x = 0

149-29*x = 0 // - 149

-29*x = -149 // : -29

x = -149/(-29)

x = 149/29

x = 149/29

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