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

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


D( x )

x+5 = 0

2*x-3 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x in (-oo:-5) U (-5:3/2) U (3/2:+oo)

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

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

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

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

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

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

21-x = 0

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

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

21-x = 0

21-x = 0 // - 21

-x = -21 // * -1

x = 21

x = 21

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