x/(x+5)-10/(x-3)=1

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Solution for x/(x+5)-10/(x-3)=1 equation: 


D( x )

x+5 = 0

x-3 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

x/(x+5)-(10/(x-3)) = 1 // - 1

x/(x+5)-(10/(x-3))-1 = 0

x/(x+5)-10*(x-3)^-1-1 = 0

x/(x+5)-10/(x-3)-1 = 0

(x*(x-3))/((x+5)*(x-3))+(-10*(x+5))/((x+5)*(x-3))+(-1*(x+5)*(x-3))/((x+5)*(x-3)) = 0

x*(x-3)-10*(x+5)-1*(x+5)*(x-3) = 0

x^2-x^2-13*x-2*x-50+15 = 0

-15*x-35 = 0

(-15*x-35)/((x+5)*(x-3)) = 0

(-15*x-35)/((x+5)*(x-3)) = 0 // * (x+5)*(x-3)

-15*x-35 = 0

-15*x-35 = 0 // + 35

-15*x = 35 // : -15

x = 35/(-15)

x = -7/3

x = -7/3

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