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

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


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

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

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

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

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

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

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

2*x^2-2*x^2-7*x+6*x-15 = 0

-x-15 = 0

(-x-15)/(2*(x-3)) = 0

(-x-15)/(2*(x-3)) = 0 // * 2*(x-3)

-x-15 = 0

-x-15 = 0 // + 15

-x = 15 // * -1

x = -15

x = -15

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