document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202668>Question 202668</A>: <I><SPAN STYLE=\"word-break: break-all;\">  I need help with this question,<BR>\n" );
document.write( "{Find a number which is 150 greater than its opposite.}\r<BR>\n" );
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document.write( "The opposite of 150 is -150 right? so is the answer zero? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152853 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=152853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the problem said: \"Find a number 'x' which is 150 greater than its opposite.\", then it might have been more obvious. Anyways, they're not referring to the opposite of 150, they're referring to the opposite of the unknown number \"x\". For ANY number \"x\", the opposite is \"-x\" (ie negative 'x')\r<BR>\n" );
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document.write( "The given sentence \"a number which is 150 greater than its opposite\" translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=150%2B%28-x%29 ALIGN=MIDDLE  ALT=\"x=150%2B%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=150%2B%28-x%29 ALIGN=MIDDLE  ALT=\"x=150%2B%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bred%28x%29=150%2B%28-x%29%2Bred%28x%29 ALIGN=MIDDLE  ALT=\"x%2Bred%28x%29=150%2B%28-x%29%2Bred%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 'x' to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx=150%2Bcross%28%28-x%29%2Bx%29 ALIGN=MIDDLE  ALT=\"x%2Bx=150%2Bcross%28%28-x%29%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the opposite (but common) terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%282%29x=150%2Bred%280x%29 ALIGN=MIDDLE  ALT=\"red%282%29x=150%2Bred%280x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=150 ALIGN=MIDDLE  ALT=\"2x=150\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2Fred%282%29=150%2Fred%282%29 ALIGN=MIDDLE  ALT=\"%282x%29%2Fred%282%29=150%2Fred%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2 to isolate \"x\".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%282%29x%29%2Fcross%282%29=150%2F2 ALIGN=MIDDLE  ALT=\"%28cross%282%29x%29%2Fcross%282%29=150%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=150%2F2 ALIGN=MIDDLE  ALT=\"x=150%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=red%2875%29 ALIGN=MIDDLE  ALT=\"x=red%2875%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=75 ALIGN=MIDDLE  ALT=\"x=75\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the number 75 is 150 greater than its opposite (which is -75). If you're bold enough (or bored enough), you can draw out a number line and count the distance from 75 to -75. Sure enough, you'll find that the distance is 150. </SPAN>\n" );
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