(2x+1)/(x+3)=(6x+7)/((2)(x+3))-(2x+5)/((2)(x+3))

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Solution for (2x+1)/(x+3)=(6x+7)/((2)(x+3))-(2x+5)/((2)(x+3)) equation: 


D( x )

2*(x+3) = 0

x+3 = 0

2*(x+3) = 0

2*(x+3) = 0

x+3 = 0 // - 3

x = -3

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

(2*x+1)/(x+3) = (6*x+7)/(2*(x+3))-((2*x+5)/(2*(x+3))) // - (6*x+7)/(2*(x+3))-((2*x+5)/(2*(x+3)))

(2*x+1)/(x+3)-((6*x+7)/(2*(x+3)))+(2*x+5)/(2*(x+3)) = 0

(2*x+1)/(x+3)+(-1*(6*x+7))/(2*(x+3))+(2*x+5)/(2*(x+3)) = 0

(2*(2*x+1))/(2*(x+3))+(-1*(6*x+7))/(2*(x+3))+(2*x+5)/(2*(x+3)) = 0

2*(2*x+1)-1*(6*x+7)+2*x+5 = 0

2*x-2*x-5+5 = 0

0 = 0

0/(2*(x+3)) = 0

0/(2*(x+3)) = 0 // * 2*(x+3)

0 = 0

x belongs to the empty set

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