(6x-19)/(6x+1)=5

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Solution for (6x-19)/(6x+1)=5 equation: 


D( x )

6*x+1 = 0

6*x+1 = 0

6*x+1 = 0

6*x+1 = 0 // - 1

6*x = -1 // : 6

x = -1/6

x in (-oo:-1/6) U (-1/6:+oo)

(6*x-19)/(6*x+1) = 5 // - 5

(6*x-19)/(6*x+1)-5 = 0

(6*x-19)/(6*x+1)+(-5*(6*x+1))/(6*x+1) = 0

6*x-5*(6*x+1)-19 = 0

-24*x-24 = 0

(-24*x-24)/(6*x+1) = 0

(-24*x-24)/(6*x+1) = 0 // * 6*x+1

-24*x-24 = 0

-24*x-24 = 0 // + 24

-24*x = 24 // : -24

x = 24/(-24)

x = -1

x = -1

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