1/(2x-10)=5

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Solution for 1/(2x-10)=5 equation: 


D( x )

2*x-10 = 0

2*x-10 = 0

2*x-10 = 0

2*x-10 = 0 // + 10

2*x = 10 // : 2

x = 10/2

x = 5

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

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

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

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

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

51-10*x = 0

(51-10*x)/(2*x-10) = 0

(51-10*x)/(2*x-10) = 0 // * 2*x-10

51-10*x = 0

51-10*x = 0 // - 51

-10*x = -51 // : -10

x = -51/(-10)

x = 51/10

x = 51/10

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