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

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

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

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

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

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

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

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

4*x-8*x-12+2 = 0

-4*x-10 = 0

(-4*x-10)/(2*(x+3)) = 0

(-4*x-10)/(2*(x+3)) = 0 // * 2*(x+3)

-4*x-10 = 0

-4*x-10 = 0 // + 10

-4*x = 10 // : -4

x = 10/(-4)

x = -5/2

x = -5/2

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