1/(14-3x)=2/(5x+4)

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Solution for 1/(14-3x)=2/(5x+4) equation:


D( x )

14-(3*x) = 0

5*x+4 = 0

14-(3*x) = 0

14-(3*x) = 0

14-3*x = 0

14-3*x = 0 // - 14

-3*x = -14 // : -3

x = -14/(-3)

x = 14/3

5*x+4 = 0

5*x+4 = 0

5*x+4 = 0 // - 4

5*x = -4 // : 5

x = -4/5

x in (-oo:-4/5) U (-4/5:14/3) U (14/3:+oo)

1/(14-(3*x)) = 2/(5*x+4) // - 2/(5*x+4)

1/(14-(3*x))-(2/(5*x+4)) = 0

1/(14-3*x)-2*(5*x+4)^-1 = 0

1/(14-3*x)-2/(5*x+4) = 0

(1*(5*x+4))/((14-3*x)*(5*x+4))+(-2*(14-3*x))/((14-3*x)*(5*x+4)) = 0

1*(5*x+4)-2*(14-3*x) = 0

11*x-24 = 0

(11*x-24)/((14-3*x)*(5*x+4)) = 0

(11*x-24)/((14-3*x)*(5*x+4)) = 0 // * (14-3*x)*(5*x+4)

11*x-24 = 0

11*x-24 = 0 // + 24

11*x = 24 // : 11

x = 24/11

x = 24/11

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