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

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


D( x )

3*x-4 = 0

x+5 = 0

3*x-4 = 0

3*x-4 = 0

3*x-4 = 0 // + 4

3*x = 4 // : 3

x = 4/3

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

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

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

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

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

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

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

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

33-x = 0

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

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

33-x = 0

33-x = 0 // - 33

-x = -33 // * -1

x = 33

x = 33

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