document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830963>Question 830963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to figure out this equation. \r<BR>\n" );
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document.write( "8-|x+2|=5\r<BR>\n" );
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document.write( "I am using my math lab and tried to use the view an example solution which ended up being the exact same equation and I know the answer is X=-5,1 but I dont understand when you try to get the absolute value by its self how you Isolate with the way the equation is written. I know that you could read the equation like this 8(-1)|x+2|=5 but when I look at the example the answer they recieve is |x+2|=3  and I am very confused because it did not show me the steps on how it got to this point. can you please help me understand this process. Thank you!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501043 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=501043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8-|x+2|=5 and 8(-1)|x+2|=5  are not the same equation; they are not equivalent.  That could be what is confusing you.  The second of those two would be -8*|x+2|=5.\r<BR>\n" );
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document.write( "If you are given the first equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-abs%28x%2B2%29=5 ALIGN=MIDDLE  ALT=\"8-abs%28x%2B2%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-abs%28x%2B2%29=5-8 ALIGN=MIDDLE  ALT=\"-abs%28x%2B2%29=5-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-abs%28x%2B2%29=-3 ALIGN=MIDDLE  ALT=\"-abs%28x%2B2%29=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B2%29=3 ALIGN=MIDDLE  ALT=\"abs%28x%2B2%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Consider the conditions of x+2 being positive or zero; and of being negative.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2%3E=0 ALIGN=MIDDLE  ALT=\"x%2B2%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B2%29=x%2B2=3 ALIGN=MIDDLE  ALT=\"abs%28x%2B2%29=x%2B2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3-2 ALIGN=MIDDLE  ALT=\"x=3-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2%3C0 ALIGN=MIDDLE  ALT=\"x%2B2%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B2%29=-x-2=3 ALIGN=MIDDLE  ALT=\"abs%28x%2B2%29=-x-2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2=-3 ALIGN=MIDDLE  ALT=\"x%2B2=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3-2 ALIGN=MIDDLE  ALT=\"x=-3-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You SHOULD check each of these solutions for x in the original (given) equation to see if either of them fails as a solution.  x=-5 will work.  Actually, x=1 will also work.\r<BR>\n" );
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document.write( "Note that in most absolute value EQUATIONS, you can treat the absolute value as a variable until it is isolated to be analyzed more closely. </SPAN>\n" );
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