document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232261>Question 232261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thank you in advance for your help and your time. I have tried this and it does work out, but I cannot figure out why! Can you explain?\r<BR>\n" );
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document.write( "Think of a number.<BR>\n" );
document.write( "Add 7.<BR>\n" );
document.write( "Double the result.<BR>\n" );
document.write( "Subtract 8.<BR>\n" );
document.write( "Double the result.<BR>\n" );
document.write( "Add 12.<BR>\n" );
document.write( "Divide by 4.<BR>\n" );
document.write( "Subtract 6.<BR>\n" );
document.write( "Your answer will be the original number. Explain how this trick works.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171690 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=171690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Think of a number.<BR>\n" );
document.write( "Add 7.<BR>\n" );
document.write( "Double the result.<BR>\n" );
document.write( "Subtract 8.<BR>\n" );
document.write( "Double the result.<BR>\n" );
document.write( "Add 12.<BR>\n" );
document.write( "Divide by 4.<BR>\n" );
document.write( "Subtract 6.<BR>\n" );
document.write( "Your answer will be the original number. Explain how this trick works<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "The various math operations cancel one-another out.<BR>\n" );
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document.write( "Start with \"x\"<BR>\n" );
document.write( "Add 7 to get \"x+7\"<BR>\n" );
document.write( "Double to get \"2x+14\"<BR>\n" );
document.write( "Subtract 8 to get \"2x+6\"<BR>\n" );
document.write( "Double to get \"4x+12\"<BR>\n" );
document.write( "Add 12 to get \"4x+24\"<BR>\n" );
document.write( "Divide by 4 to get \"x+6\"<BR>\n" );
document.write( "Subtract 6 to get \"x\"<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "You ended up where you started.<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );