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

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


D( x )

x-2 = 0

3*x-1 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

x in (-oo:1/3) U (1/3:2) U (2:+oo)

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

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

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

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

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

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

-7*x-6 = 0

(-7*x-6)/((3*x-1)*(x-2)) = 0

(-7*x-6)/((3*x-1)*(x-2)) = 0 // * (3*x-1)*(x-2)

-7*x-6 = 0

-7*x-6 = 0 // + 6

-7*x = 6 // : -7

x = 6/(-7)

x = -6/7

x = -6/7

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