document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847439>Question 847439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> |x-7| = X+5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510436 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=510436\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The capital X must be a misprint.  You must mean |x-7|=x+5.\r<BR>\n" );
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document.write( "An important restriction is that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=-5 ALIGN=MIDDLE  ALT=\"x%3E=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, otherwise the statement becomes meaningless.  Absolute value is always positive or zero.\r<BR>\n" );
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document.write( "With that restriction recognized, x-7 may still be either positive or negative or zero.  Account for two conditions:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7%3C0 ALIGN=MIDDLE  ALT=\"x-7%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7%3E=0 ALIGN=MIDDLE  ALT=\"x-7%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Solve the equation according to each of those conditions, separately.  Combine the solution parts appropriately.  \r<BR>\n" );
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document.write( "The argument positive or zero:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7=x%2B5 ALIGN=MIDDLE  ALT=\"x-7=x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with the restriction if needed, that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=-5 ALIGN=MIDDLE  ALT=\"x%3E=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Solve for x.\r<BR>\n" );
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document.write( "The argument negative:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B7=x%2B5 ALIGN=MIDDLE  ALT=\"-x%2B7=x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with the restriction if needed, that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=-5 ALIGN=MIDDLE  ALT=\"x%3E=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Solve for x.\r<BR>\n" );
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document.write( "I have left out the final solution steps, so you can enjoy the opportunity to continue the process. </SPAN>\n" );
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