5/2=1/(x-6)

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Solution for 5/2=1/(x-6) equation: 


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

5/2 = 1/(x-6) // - 1/(x-6)

5/2-(1/(x-6)) = 0

5/2-(x-6)^-1 = 0

5/2-1/(x-6) = 0

(-1*2)/(2*(x-6))+(5*(x-6))/(2*(x-6)) = 0

5*(x-6)-1*2 = 0

5*x-32 = 0

(5*x-32)/(2*(x-6)) = 0

(5*x-32)/(2*(x-6)) = 0 // * 2*(x-6)

5*x-32 = 0

5*x-32 = 0 // + 32

5*x = 32 // : 5

x = 32/5

x = 32/5

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