8/(3x-1)=5/(x-3)

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Solution for 8/(3x-1)=5/(x-3) equation:


D( x )

3*x-1 = 0

x-3 = 0

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:1/3) U (1/3:3) U (3:+oo)

8/(3*x-1) = 5/(x-3) // - 5/(x-3)

8/(3*x-1)-(5/(x-3)) = 0

8/(3*x-1)-5*(x-3)^-1 = 0

8/(3*x-1)-5/(x-3) = 0

(8*(x-3))/((3*x-1)*(x-3))+(-5*(3*x-1))/((3*x-1)*(x-3)) = 0

8*(x-3)-5*(3*x-1) = 0

-7*x-19 = 0

(-7*x-19)/((3*x-1)*(x-3)) = 0

(-7*x-19)/((3*x-1)*(x-3)) = 0 // * (3*x-1)*(x-3)

-7*x-19 = 0

-7*x-19 = 0 // + 19

-7*x = 19 // : -7

x = 19/(-7)

x = -19/7

x = -19/7

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