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

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


D( x )

3*x-5 = 0

x+3 = 0

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

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

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

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

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

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

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

7*x-35 = 0

(7*x-35)/((x+3)*(3*x-5)) = 0

(7*x-35)/((x+3)*(3*x-5)) = 0 // * (x+3)*(3*x-5)

7*x-35 = 0

7*x-35 = 0 // + 35

7*x = 35 // : 7

x = 35/7

x = 5

x = 5

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