5/2=10/(x-5)

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Solution for 5/2=10/(x-5) 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)

5/2 = 10/(x-5) // - 10/(x-5)

5/2-(10/(x-5)) = 0

5/2-10*(x-5)^-1 = 0

5/2-10/(x-5) = 0

(-10*2)/(2*(x-5))+(5*(x-5))/(2*(x-5)) = 0

5*(x-5)-10*2 = 0

5*x-45 = 0

(5*x-45)/(2*(x-5)) = 0

(5*x-45)/(2*(x-5)) = 0 // * 2*(x-5)

5*x-45 = 0

5*x-45 = 0 // + 45

5*x = 45 // : 5

x = 45/5

x = 9

x = 9

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