document.write( "Question 143103: Simplify: $\"+%287x+-+9%29+%2F++%28x%5E2+-+25%29+\"$ - $\"+3+%2F+%28x+-+5%29+\"$ = $\"+2+%2F+%28x+-+5%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #104152 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Simplify: $\"+%287x+-+9%29+%2F++%28x%5E2+-+25%29+\"$ - $\"+3+%2F+%28x+-+5%29+\"$ = $\"+2+%2F+%28x+-+5%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "First, we need to recognize that $\"%28x%5E2-25%29\"$ = $\"%28x-5%29%28x%2B5%29\"$
\n" ); document.write( "So, $\"x%5E2-25\"$ is the LCM and we need to multiply each term by $\"x%5E2-25%29\"$ . When we do, we get:\r
\n" ); document.write( "\n" ); document.write( " $\"%287x-9%29-3%28x%2B5%29=2%28x%2B5%29\"$ get rid of parens
\n" ); document.write( " $\"7x-9-3x-15=2x%2B10\"$ or
\n" ); document.write( " $\"4x-24=2x%2B10\"$ add 24 to and subtract 2x from each side:\r
\n" ); document.write( "\n" ); document.write( " $\"4x-24%2B24-2x=2x-2x%2B24%2B10\"$ collect like terms\r
\n" ); document.write( "\n" ); document.write( " $\"2x=34\"$ divide each side by 2
\n" ); document.write( " $\"x=17\"$ ----------------------------------ans\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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