document.write( "Question 143036: Solve \"1%2F%284x%2B12%29-1%2F%28x%5E2-9%29=5%2F%28x-3%29\" \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #104076 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"1%2F%284x%2B12%29-1%2F%28x%5E2-9%29=5%2F%28x-3%29\" Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%2F%284%28x%2B3%29%29-1%2F%28%28x-3%29%28x%2B3%29%29=5%2F%28x-3%29\" Factor \"4x%2B12\" to get \"4%28x%2B3%29\". Factor \"x%5E2-9\" to get \"%28x-3%29%28x%2B3%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the LCD is \"4%28x%2B3%29%28x-3%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Multiply both sides by the LCD \"4%28x%2B3%29%28x-3%29\" to clear the fractions\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x-3%29-4=20%28x%2B3%29\" Distribute and multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-3-4=20x%2B60\" Distribute again\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-7=20x%2B60\" Combine like terms on the left side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=20x%2B60%2B7\"Add 7 to both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-20x=60%2B7\" Subtract 20x from both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-19x=60%2B7\" Combine like terms on the left side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-19x=67\" Combine like terms on the right side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%2867%29%2F%28-19%29\" Divide both sides by -19 to isolate x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-67%2F19\" Reduce\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"x=-67%2F19\" (which is approximately \"x=-3.5263\" in decimal form)
\n" ); document.write( "
\n" ); document.write( "
\n" );