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

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


D( x )

x+4 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

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

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

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

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

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

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

37-2*x = 0

(37-2*x)/(5*(x+4)) = 0

(37-2*x)/(5*(x+4)) = 0 // * 5*(x+4)

37-2*x = 0

37-2*x = 0 // - 37

-2*x = -37 // : -2

x = -37/(-2)

x = 37/2

x = 37/2

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