8/(3x-5)=3/(x+4)

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Solution for 8/(3x-5)=3/(x+4) equation: 


D( x )

x+4 = 0

3*x-5 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x in (-oo:-4) U (-4:5/3) U (5/3:+oo)

8/(3*x-5) = 3/(x+4) // - 3/(x+4)

8/(3*x-5)-(3/(x+4)) = 0

8/(3*x-5)-3*(x+4)^-1 = 0

8/(3*x-5)-3/(x+4) = 0

(8*(x+4))/((3*x-5)*(x+4))+(-3*(3*x-5))/((3*x-5)*(x+4)) = 0

8*(x+4)-3*(3*x-5) = 0

47-x = 0

(47-x)/((3*x-5)*(x+4)) = 0

(47-x)/((3*x-5)*(x+4)) = 0 // * (3*x-5)*(x+4)

47-x = 0

47-x = 0 // - 47

-x = -47 // * -1

x = 47

x = 47

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