document.write( "Question 258767: \"abs%283x+%2B+1%29+%2B+abs%283+-+2x%29+=+11\"
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Algebra.Com's Answer #190505 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
\"abs%283x+%2B+1%29+%2B+abs%283+-+2x%29+=+11\"
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document.write( "We have to solve these 4 cases\r\n" );
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document.write( "Case 1:  \"%22%22%2B%283x+%2B+1%29+%2B%283+-+2x%29+=+11\" \r\n" );
document.write( "Case 2:  \"%22%22%2B%283x+%2B+1%29+-%283+-+2x%29+=+11\" \r\n" );
document.write( "Case 3:  \"-%283x+%2B+1%29+%2B+%283+-+2x%29+=+11\" \r\n" );
document.write( "Case 4:  \"-%283x+%2B+1%29+-+%283+-+2x%29+=+11\" \r\n" );
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document.write( "and check each in the original to see if it is a\r\n" );
document.write( "solution or whether it is extraneous.   \r\n" );
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document.write( "Case 1:  \r\n" );
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document.write( "\"%22%22%2B%283x+%2B+1%29+%2B%283+-+2x%29+=+11\"\r\n" );
document.write( "\"3x+%2B+1+%2B3+-+2x+=+11\"\r\n" );
document.write( "\"x%2B4=11\"\r\n" );
document.write( "\"x=7\"\r\n" );
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document.write( "Check in original:\r\n" );
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document.write( "\"abs%283x+%2B+1%29+%2B+abs%283+-+2x%29+=+11\"\r\n" );
document.write( "\"abs%283%287%29+%2B+1%29+%2B+abs%283+-+2%287%29%29+=+11\"\r\n" );
document.write( "\"abs%2821+%2B+1%29+%2B+abs%283+-+14%29+=+11\"\r\n" );
document.write( "\"abs%2822%29+%2B+abs%28-11%29+=+11\"\r\n" );
document.write( "\"22+%2B+11+=+11\"\r\n" );
document.write( "\"33=11\"\r\n" );
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document.write( "That does not check. so 7 is extraneous.\r\n" );
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document.write( "Case 2:  \r\n" );
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document.write( "\"%22%22%2B%283x+%2B+1%29+-%283+-+2x%29+=+11\"\r\n" );
document.write( "\"3x+%2B+1+-3+%2B+2x+=+11\"\r\n" );
document.write( "\"5x-2=11\"\r\n" );
document.write( "\"5x=13\"\r\n" );
document.write( "\"x=13%2F5\"\r\n" );
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document.write( "Check in original:\r\n" );
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document.write( "\"abs%283x+%2B+1%29+%2B+abs%283+-+2x%29+=+11\"\r\n" );
document.write( "\"abs%283%2813%2F5%29+%2B+1%29+%2B+abs%283+-+2%2813%2F5%29%29+=+11\"\r\n" );
document.write( "\"abs%2839%2F5+%2B+1%29+%2B+abs%283+-+26%2F5%29+=+11\"\r\n" );
document.write( "\"abs%2839%2F5%2B5%2F5%29+%2B+abs%2815%2F5-26%2F5%29+=+11\"\r\n" );
document.write( "\"abs%2844%2F5%29+%2B+abs%28-11%2F5%29+=+11\"\r\n" );
document.write( "\"44%2F5%2B11%2F5=11\"\r\n" );
document.write( "\"55%2F5=11\"\r\n" );
document.write( "\"11=11\"\r\n" );
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document.write( "That checks, so \"13%2F5\" is a solution.\r\n" );
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document.write( "Case 3:  \r\n" );
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document.write( "\"-%283x+%2B+1%29+%2B%283+-+2x%29+=+11\"\r\n" );
document.write( "\"-3x+-+1+%2B3+-+2x+=+11\"\r\n" );
document.write( "\"-5x%2B2=11\"\r\n" );
document.write( "\"-5x=9\"\r\n" );
document.write( "\"x=-9%2F5\"\r\n" );
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document.write( "Check in original:\r\n" );
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document.write( "\"abs%283x+%2B+1%29+%2B+abs%283+-+2x%29+=+11\"\r\n" );
document.write( "\"abs%283%28-9%2F5%29+%2B+1%29+%2B+abs%283+-+2%28-9%2F5%29%29+=+11\"\r\n" );
document.write( "\"abs%28-27%2F5+%2B+1%29+%2B+abs%283+%2B+18%2F5%29+=+11\"\r\n" );
document.write( "\"abs%28-27%2F5%2B5%2F5%29+%2B+abs%2815%2F5%2B18%2F5%29+=+11\"\r\n" );
document.write( "\"abs%28-22%2F5%29+%2B+abs%2833%2F5%29+=+11\"\r\n" );
document.write( "\"22%2F5%2B33%2F5=11\"\r\n" );
document.write( "\"55%2F5=11\"\r\n" );
document.write( "\"11=11\"\r\n" );
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document.write( "That checks so \"-9%2F5\" is a solution.\r\n" );
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document.write( "Case 4:  \r\n" );
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document.write( "\"-%283x+%2B+1%29+-%283+-+2x%29+=+11\"\r\n" );
document.write( "\"-3x+-+1+-3+%2B+2x+=+11\"\r\n" );
document.write( "\"-x-4=11\"\r\n" );
document.write( "\"-x=15\"\r\n" );
document.write( "\"x=-15\"\r\n" );
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document.write( "Check in original:\r\n" );
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document.write( "\"abs%283x+%2B+1%29+%2B+abs%283+-+2x%29+=+11\"\r\n" );
document.write( "\"abs%283%28-15%29+%2B+1%29+%2B+abs%283+-+2%28-15%29%29+=+11\"\r\n" );
document.write( "\"abs%28-45+%2B+1%29+%2B+abs%283+-+30%29+=+11\"\r\n" );
document.write( "\"abs%28-44%29+%2B+abs%28-27%29+=+11\"\r\n" );
document.write( "\"44+%2B+27+=+11\"\r\n" );
document.write( "\"71=11\"\r\n" );
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document.write( "That does not check, so \"-15\" is extraneous.\r\n" );
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document.write( "There are two solutions:\r\n" );
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document.write( "\"x=13%2F5\" and \"x=-9%2F5\"\r\n" );
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document.write( "Edwin
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