8/(5x-4)=6/(x+5)

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Solution for 8/(5x-4)=6/(x+5) equation:


D( x )

x+5 = 0

5*x-4 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

5*x-4 = 0

5*x-4 = 0

5*x-4 = 0 // + 4

5*x = 4 // : 5

x = 4/5

x in (-oo:-5) U (-5:4/5) U (4/5:+oo)

8/(5*x-4) = 6/(x+5) // - 6/(x+5)

8/(5*x-4)-(6/(x+5)) = 0

8/(5*x-4)-6*(x+5)^-1 = 0

8/(5*x-4)-6/(x+5) = 0

(8*(x+5))/((5*x-4)*(x+5))+(-6*(5*x-4))/((5*x-4)*(x+5)) = 0

8*(x+5)-6*(5*x-4) = 0

64-22*x = 0

(64-22*x)/((5*x-4)*(x+5)) = 0

(64-22*x)/((5*x-4)*(x+5)) = 0 // * (5*x-4)*(x+5)

64-22*x = 0

64-22*x = 0 // - 64

-22*x = -64 // : -22

x = -64/(-22)

x = 32/11

x = 32/11

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