9/(x-5)=13/10

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Solution for 9/(x-5)=13/10 equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

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

9/(x-5) = 13/10 // - 13/10

9/(x-5)-(13/10) = 0

9/(x-5)-13/10 = 0

(9*10)/(10*(x-5))+(-13*(x-5))/(10*(x-5)) = 0

9*10-13*(x-5) = 0

155-13*x = 0

(155-13*x)/(10*(x-5)) = 0

(155-13*x)/(10*(x-5)) = 0 // * 10*(x-5)

155-13*x = 0

155-13*x = 0 // - 155

-13*x = -155 // : -13

x = -155/(-13)

x = 155/13

x = 155/13

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