document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=640846>Question 640846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I got one of the correct answers of the following problem but can get the other. Just started absolute value equations so if you can, please explain each step. Thanks! (I got -3/2 for one answer)\r<BR>\n" );
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document.write( "|x-1|=|3x+2|  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403433 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=403433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If |x-1|=|3x+2| , then 4 scenarios are possible\r<BR>\n" );
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document.write( "a)\r<BR>\n" );
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document.write( "|x-1|=|3x+2| \r<BR>\n" );
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document.write( "means\r<BR>\n" );
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document.write( "x-1 = 3x+2\r<BR>\n" );
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document.write( "------------------------\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "|x-1|=|3x+2| \r<BR>\n" );
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document.write( "means\r<BR>\n" );
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document.write( "x-1 = -(3x+2)\r<BR>\n" );
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document.write( "c)\r<BR>\n" );
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document.write( "|x-1|=|3x+2| \r<BR>\n" );
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document.write( "means\r<BR>\n" );
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document.write( "-(x-1) = 3x+2\r<BR>\n" );
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document.write( "but that's the same as scenario b) because we can multiply both sides by -1 to get x-1 = -(3x+2) back again.\r<BR>\n" );
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document.write( "d)\r<BR>\n" );
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document.write( "|x-1|=|3x+2| \r<BR>\n" );
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document.write( "means that\r<BR>\n" );
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document.write( "-(x-1) = -(3x+2)\r<BR>\n" );
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document.write( "but that simplifies to\r<BR>\n" );
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document.write( "x-1 = 3x+2\r<BR>\n" );
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document.write( "which is scenario a)\r<BR>\n" );
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document.write( "So you just need to solve 2 equations\r<BR>\n" );
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document.write( "x-1 = 3x+2\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "x-1 = -(3x+2)\r<BR>\n" );
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document.write( "to get your two answers </SPAN>\n" );
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