1/(2x-4)=31/24

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Solution for 1/(2x-4)=31/24 equation: 


D( x )

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0 // + 4

2*x = 4 // : 2

x = 4/2

x = 2

x in (-oo:2) U (2:+oo)

1/(2*x-4) = 31/24 // - 31/24

1/(2*x-4)-(31/24) = 0

1/(2*x-4)-31/24 = 0

(1*24)/(24*(2*x-4))+(-31*(2*x-4))/(24*(2*x-4)) = 0

1*24-31*(2*x-4) = 0

148-62*x = 0

(148-62*x)/(24*(2*x-4)) = 0

(148-62*x)/(24*(2*x-4)) = 0 // * 24*(2*x-4)

148-62*x = 0

148-62*x = 0 // - 148

-62*x = -148 // : -62

x = -148/(-62)

x = 74/31

x = 74/31

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