Question 371112
(2x-5)/(x-3) -2= (3)/(x+3) 

{{{(2x-5)/(x-3) -2= (3)/(x+3)}}} 
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{{{(2x-5)/(x-3) -(3)/(x+3)=2}}}
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LCD = (x-3)(x+3) 
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{{{((2x-5)(x+3)-3(x-3))/(x-3)(x+3) =2}}}
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{{{((2x^2+x-15)-3x+9)/(x-3)(x+3)=2}}}
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{{{(2x^2-2x-6)/(x-3)(x+3) =2}}}
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{{{2(x^2-x-3)/(x-3)(x+3) =2}}}
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/2
{{{(x^2-x-3)/(x-3)(x+3) =1}}}
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{{{(x^2-x-3)=(x^2-9)}}}
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x^2 cancels off
-x-3=9
+3    +3
-x=-6
/-1
x=6
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