6/(5x-2)=9/(7x-6)

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Solution for 6/(5x-2)=9/(7x-6) equation:


D( x )

5*x-2 = 0

7*x-6 = 0

5*x-2 = 0

5*x-2 = 0

5*x-2 = 0 // + 2

5*x = 2 // : 5

x = 2/5

7*x-6 = 0

7*x-6 = 0

7*x-6 = 0 // + 6

7*x = 6 // : 7

x = 6/7

x in (-oo:2/5) U (2/5:6/7) U (6/7:+oo)

6/(5*x-2) = 9/(7*x-6) // - 9/(7*x-6)

6/(5*x-2)-(9/(7*x-6)) = 0

6/(5*x-2)-9*(7*x-6)^-1 = 0

6/(5*x-2)-9/(7*x-6) = 0

(6*(7*x-6))/((5*x-2)*(7*x-6))+(-9*(5*x-2))/((5*x-2)*(7*x-6)) = 0

6*(7*x-6)-9*(5*x-2) = 0

-3*x-18 = 0

(-3*x-18)/((5*x-2)*(7*x-6)) = 0

(-3*x-18)/((5*x-2)*(7*x-6)) = 0 // * (5*x-2)*(7*x-6)

-3*x-18 = 0

-3*x-18 = 0 // + 18

-3*x = 18 // : -3

x = 18/(-3)

x = -6

x = -6

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