-(5/(3x-7))=3/(3x+1)

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Solution for -(5/(3x-7))=3/(3x+1) equation:


D( x )

3*x-7 = 0

3*x+1 = 0

3*x-7 = 0

3*x-7 = 0

3*x-7 = 0 // + 7

3*x = 7 // : 3

x = 7/3

3*x+1 = 0

3*x+1 = 0

3*x+1 = 0 // - 1

3*x = -1 // : 3

x = -1/3

x in (-oo:-1/3) U (-1/3:7/3) U (7/3:+oo)

-(5/(3*x-7)) = 3/(3*x+1) // - 3/(3*x+1)

-(5/(3*x-7))-(3/(3*x+1)) = 0

-5*(3*x-7)^-1-3*(3*x+1)^-1 = 0

-5/(3*x-7)-3/(3*x+1) = 0

(-5*(3*x+1))/((3*x-7)*(3*x+1))+(-3*(3*x-7))/((3*x-7)*(3*x+1)) = 0

-5*(3*x+1)-3*(3*x-7) = 0

16-24*x = 0

(16-24*x)/((3*x-7)*(3*x+1)) = 0

(16-24*x)/((3*x-7)*(3*x+1)) = 0 // * (3*x-7)*(3*x+1)

16-24*x = 0

16-24*x = 0 // - 16

-24*x = -16 // : -24

x = -16/(-24)

x = 2/3

x = 2/3

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