7/(3x-1)=2/(9-x)

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Solution for 7/(3x-1)=2/(9-x) equation: 


D( x )

3*x-1 = 0

9-x = 0

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

9-x = 0

9-x = 0

9-x = 0 // - 9

-x = -9 // * -1

x = 9

x in (-oo:1/3) U (1/3:9) U (9:+oo)

7/(3*x-1) = 2/(9-x) // - 2/(9-x)

7/(3*x-1)-(2/(9-x)) = 0

7/(3*x-1)-2*(9-x)^-1 = 0

7/(3*x-1)-2/(9-x) = 0

(7*(9-x))/((3*x-1)*(9-x))+(-2*(3*x-1))/((3*x-1)*(9-x)) = 0

7*(9-x)-2*(3*x-1) = 0

65-13*x = 0

(65-13*x)/((3*x-1)*(9-x)) = 0

(65-13*x)/((3*x-1)*(9-x)) = 0 // * (3*x-1)*(9-x)

65-13*x = 0

65-13*x = 0 // - 65

-13*x = -65 // : -13

x = -65/(-13)

x = 5

x = 5

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