5/x+3/(x+4)=7/x

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Solution for 5/x+3/(x+4)=7/x equation: 


D( x )

x+4 = 0

x = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x = 0

x = 0

x in (-oo:-4) U (-4:0) U (0:+oo)

3/(x+4)+5/x = 7/x // - 7/x

3/(x+4)+5/x-(7/x) = 0

3/(x+4)+5/x-7*x^-1 = 0

3/(x+4)+5/x-7/x = 0

(3*x)/(x*(x+4))+(5*(x+4))/(x*(x+4))+(-7*(x+4))/(x*(x+4)) = 0

5*(x+4)-7*(x+4)+3*x = 0

8*x-7*x-28+20 = 0

x-8 = 0

(x-8)/(x*(x+4)) = 0

(x-8)/(x*(x+4)) = 0 // * x*(x+4)

x-8 = 0

x-8 = 0 // + 8

x = 8

x = 8

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