3/(5x-2)=2/(3x-8)

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Solution for 3/(5x-2)=2/(3x-8) equation:


D( x )

5*x-2 = 0

3*x-8 = 0

5*x-2 = 0

5*x-2 = 0

5*x-2 = 0 // + 2

5*x = 2 // : 5

x = 2/5

3*x-8 = 0

3*x-8 = 0

3*x-8 = 0 // + 8

3*x = 8 // : 3

x = 8/3

x in (-oo:2/5) U (2/5:8/3) U (8/3:+oo)

3/(5*x-2) = 2/(3*x-8) // - 2/(3*x-8)

3/(5*x-2)-(2/(3*x-8)) = 0

3/(5*x-2)-2*(3*x-8)^-1 = 0

3/(5*x-2)-2/(3*x-8) = 0

(3*(3*x-8))/((5*x-2)*(3*x-8))+(-2*(5*x-2))/((5*x-2)*(3*x-8)) = 0

3*(3*x-8)-2*(5*x-2) = 0

-x-20 = 0

(-x-20)/((5*x-2)*(3*x-8)) = 0

(-x-20)/((5*x-2)*(3*x-8)) = 0 // * (5*x-2)*(3*x-8)

-x-20 = 0

-x-20 = 0 // + 20

-x = 20 // * -1

x = -20

x = -20

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