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

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


D( x )

3*x+2 = 0

2*x = 0

3*x+2 = 0

3*x+2 = 0

3*x+2 = 0 // - 2

3*x = -2 // : 3

x = -2/3

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

x in (-oo:-2/3) U (-2/3:0) U (0:+oo)

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

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

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

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

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

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

x-6 = 0

(x-6)/(2*x*(3*x+2)) = 0

(x-6)/(2*x*(3*x+2)) = 0 // * 2*x*(3*x+2)

x-6 = 0

x-6 = 0 // + 6

x = 6

x = 6

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