My Math Forum Simplify this equation? Factoring?

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 October 26th, 2011, 01:44 PM #1 Newbie   Joined: Oct 2011 Posts: 1 Thanks: 0 Simplify this equation? Factoring? Been trying to do them for the longest time and I keep getting different answers every go through!
 October 26th, 2011, 02:50 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,854 Thanks: 1078 Math Focus: Elementary mathematics and beyond Re: Simplify this equation? Factoring? 1. $\frac{4\,-\,\frac{4}{x\,+\,3}}{1\,-\,\frac{2}{1\,-\,\frac{2}{x}}}\,=\,\frac{\frac{4x\,+\,8}{x\,+\,3} }{\frac{-x\,-\,2}{x\,-\,2}}\,=\,\frac{4x\,+\,8}{x\,+\,3}\,\cdot\,\frac{x \,-\,2}{-x\,-\,2}\,=\,\frac{8\,-\,4x}{x\,+\,3}$ 2. $\frac{12\,+\,x}{-4}\,-\,5\,=\,\frac{5x\,-\,7}{3}\,+\,2x\,+\,3$ $\frac{x\,+\,32}{-4}\,=\,\frac{11x\,+\,2}{3}$ $3x\,+\,96\,=\,-44x\,-\,8$ $47x\,=\,-104,\,x\,=\,-\frac{104}{47}$

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