2/(6x-3)=5/4

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Solution for 2/(6x-3)=5/4 equation: 


D( x )

6*x-3 = 0

6*x-3 = 0

6*x-3 = 0

6*x-3 = 0 // + 3

6*x = 3 // : 6

x = 3/6

x = 1/2

x in (-oo:1/2) U (1/2:+oo)

2/(6*x-3) = 5/4 // - 5/4

2/(6*x-3)-(5/4) = 0

2/(6*x-3)-5/4 = 0

(2*4)/(4*(6*x-3))+(-5*(6*x-3))/(4*(6*x-3)) = 0

2*4-5*(6*x-3) = 0

23-30*x = 0

(23-30*x)/(4*(6*x-3)) = 0

(23-30*x)/(4*(6*x-3)) = 0 // * 4*(6*x-3)

23-30*x = 0

23-30*x = 0 // - 23

-30*x = -23 // : -30

x = -23/(-30)

x = 23/30

x = 23/30

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