document.write( "Question 116168: solve and check each of the following equations for x. 5/x+6+2/x^2+7x+6=3/x+1 \n" ); document.write( "
Algebra.Com's Answer #84481 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"5%2F%28x%2B6%29%2B2%2F%28x%5E2%2B7x%2B6%29=3%2F%28x%2B1%29\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"5%2F%28x%2B6%29%2B2%2F%28%28x%2B1%29%28x%2B6%29%29=3%2F%28x%2B1%29\" Factor \r
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\n" ); document.write( "\n" ); document.write( " Multiply both sides by the LCD \"%28x%2B6%29%28x%2B1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"5%28x%2B1%29%2B2=3%28x%2B6%29\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B5%2B2=3x%2B18\" Distribute again\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B7=3x%2B18\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"5x=3x%2B18-7\"Subtract 7 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"5x-3x=18-7\" Subtract 3x from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"2x=18-7\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"2x=11\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2811%29%2F%282%29\" Divide both sides by 2 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"x=11%2F2\" (which is approximately \"x=5.5\" in decimal form)\r
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