(2x/(x+3))-(6/(x+5))=2

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Solution for (2x/(x+3))-(6/(x+5))=2 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)

(2*x)/(x+3)-(6/(x+5)) = 2 // - 2

(2*x)/(x+3)-(6/(x+5))-2 = 0

(2*x)/(x+3)-6*(x+5)^-1-2 = 0

(2*x)/(x+3)-6/(x+5)-2 = 0

(2*x*(x+5))/((x+3)*(x+5))+(-6*(x+3))/((x+3)*(x+5))+(-2*(x+3)*(x+5))/((x+3)*(x+5)) = 0

2*x*(x+5)-6*(x+3)-2*(x+3)*(x+5) = 0

2*x^2-2*x^2+4*x-16*x-30-18 = 0

-12*x-48 = 0

(-12*x-48)/((x+3)*(x+5)) = 0

(-12*x-48)/((x+3)*(x+5)) = 0 // * (x+3)*(x+5)

-12*x-48 = 0

-12*x-48 = 0 // + 48

-12*x = 48 // : -12

x = 48/(-12)

x = -4

x = -4

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