document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=494026>Question 494026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP...IF YOU DOUBLE A NUMBER AND THEN ADD 12, YOU GET ONE HALF OF THE ORIGINAL NUMBER. WHAT IS THE ORIGINAL NUMBER? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335694 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=335694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the original unknown number.<BR>\n" );
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document.write( "Double that number means taking 2 times x which is written as 2x.<BR>\n" );
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document.write( "Then add 12 to that and you have 2x + 12<BR>\n" );
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document.write( "The problem tells you that this should equal 1/2 of the original number, or (1/2)x<BR>\n" );
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document.write( "Setting these two quantities equal results in the equation:<BR>\n" );
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document.write( "2x + 12 = (1/2)x<BR>\n" );
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document.write( "You can get rid of the fraction on the right side by doubling both sides of this equation ... Do that by multiplying both sides (all terms) by 2 and the equation becomes:<BR>\n" );
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document.write( "4x + 24 = x<BR>\n" );
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document.write( "Subtract x from both sides:<BR>\n" );
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document.write( "3x + 24 = 0<BR>\n" );
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document.write( "Then subtract 24 from both sides:<BR>\n" );
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document.write( "3x = -24<BR>\n" );
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document.write( "Finally solve for x (the original number) by dividing both sides of this equation by 3 to get:<BR>\n" );
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document.write( "x = -24/3 = -8<BR>\n" );
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document.write( "So the answer is that the original unknown number is -8.<BR>\n" );
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document.write( "Check it out. Double it to get -16 then add 12 to the -16 and the result is -4. This checks because it is supposed to equal half the original number which is one-half of -8. And it does.<BR>\n" );
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document.write( "This checks the answer. The original number is -8.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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