4/(5x-2)=6/(7x+3)

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Solution for 4/(5x-2)=6/(7x+3) equation:


D( x )

5*x-2 = 0

7*x+3 = 0

5*x-2 = 0

5*x-2 = 0

5*x-2 = 0 // + 2

5*x = 2 // : 5

x = 2/5

7*x+3 = 0

7*x+3 = 0

7*x+3 = 0 // - 3

7*x = -3 // : 7

x = -3/7

x in (-oo:-3/7) U (-3/7:2/5) U (2/5:+oo)

4/(5*x-2) = 6/(7*x+3) // - 6/(7*x+3)

4/(5*x-2)-(6/(7*x+3)) = 0

4/(5*x-2)-6*(7*x+3)^-1 = 0

4/(5*x-2)-6/(7*x+3) = 0

(4*(7*x+3))/((5*x-2)*(7*x+3))+(-6*(5*x-2))/((5*x-2)*(7*x+3)) = 0

4*(7*x+3)-6*(5*x-2) = 0

24-2*x = 0

(24-2*x)/((5*x-2)*(7*x+3)) = 0

(24-2*x)/((5*x-2)*(7*x+3)) = 0 // * (5*x-2)*(7*x+3)

24-2*x = 0

24-2*x = 0 // - 24

-2*x = -24 // : -2

x = -24/(-2)

x = 12

x = 12

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