document.write( "Question 26741: |3-x|=|x/2+3| \n" ); document.write( "
Algebra.Com's Answer #14544 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
|3-x|=|x/2+3|\r\n" );
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document.write( "There are two cases to consider.\r\n" );
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document.write( "Case 1.  What is within the absolute value bars on the left is equal to what is\r\n" );
document.write( "         within the absolute value bars on the right.\r\n" );
document.write( "         That is,\r\n" );
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document.write( "         3 - x = x/2 + 3\r\n" );
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document.write( "Case 2.  What is within the absolute value bars on the left is equal to to the\r\n" );
document.write( "         OPPOSITE of (-1 times) what is within the absolute value bars on the\r\n" );
document.write( "         right.  That is.\r\n" );
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document.write( "         3 - x = -1(x/2 + 3)  \r\n" );
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document.write( "Case 1.\r\n" );
document.write( "         3 - x = x/2 + 3\r\n" );
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document.write( "Solve that and get x = 0.  That's one solution.\r\n" );
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document.write( "Case 2.\r\n" );
document.write( "         3 - x = -1(x/2 + 3)\r\n" );
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document.write( "Solve that and get x = 12.  That's the other solution.\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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