1/(2x-3)=7

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Solution for 1/(2x-3)=7 equation: 


D( x )

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x in (-oo:3/2) U (3/2:+oo)

1/(2*x-3) = 7 // - 7

1/(2*x-3)-7 = 0

1/(2*x-3)+(-7*(2*x-3))/(2*x-3) = 0

1-7*(2*x-3) = 0

22-14*x = 0

(22-14*x)/(2*x-3) = 0

(22-14*x)/(2*x-3) = 0 // * 2*x-3

22-14*x = 0

22-14*x = 0 // - 22

-14*x = -22 // : -14

x = -22/(-14)

x = 11/7

x = 11/7

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