3/(5x-8)=2/(3x+5)

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Solution for 3/(5x-8)=2/(3x+5) equation:


D( x )

5*x-8 = 0

3*x+5 = 0

5*x-8 = 0

5*x-8 = 0

5*x-8 = 0 // + 8

5*x = 8 // : 5

x = 8/5

3*x+5 = 0

3*x+5 = 0

3*x+5 = 0 // - 5

3*x = -5 // : 3

x = -5/3

x in (-oo:-5/3) U (-5/3:8/5) U (8/5:+oo)

3/(5*x-8) = 2/(3*x+5) // - 2/(3*x+5)

3/(5*x-8)-(2/(3*x+5)) = 0

3/(5*x-8)-2*(3*x+5)^-1 = 0

3/(5*x-8)-2/(3*x+5) = 0

(3*(3*x+5))/((5*x-8)*(3*x+5))+(-2*(5*x-8))/((5*x-8)*(3*x+5)) = 0

3*(3*x+5)-2*(5*x-8) = 0

31-x = 0

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

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

31-x = 0

31-x = 0 // - 31

-x = -31 // * -1

x = 31

x = 31

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