I have a fraction that needs simplifying and I think that I have it right, I just want to make sure my method is right.

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The fraction is: (2x^2+x-6)/(2x+4)

My simplification is: (3x+3)/2

My method is: (2x^2+x-6)/(2x+4) >> (2x-3)(x-2)/2x+4 >> (2x-3)(x+2)/(2x+4)>> (3x+3)/2

thank you in advance!!!!

Drakmord