document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146052>Question 146052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the problem:\r<BR>\n" );
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document.write( "1/2 + 3/x = x+6/2x\r<BR>\n" );
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document.write( "How does the x get from denominator to numerator?  I'm not sure how to work the problem to get the x on top.\r<BR>\n" );
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document.write( "Please help explain this.  Thank you.\r<BR>\n" );
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document.write( "Lorraine  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106596 by </B><A HREF=/tutors/aboutme.mpl?userid=BrittanyM><B>BrittanyM(80)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=BrittanyM><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=106596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lorraine,\r<BR>\n" );
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document.write( "For the equation we've been given, the best way to solve is to find a common denomoiatior and cancel.\r<BR>\n" );
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document.write( "We have: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fx ALIGN=MIDDLE  ALT=\"3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F2x ALIGN=MIDDLE  ALT=\"6%2F2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In order to get rid of all of these fractions and get all of the x's to the top, we need to find a common denominator and then we can canel all of the denominators out.\r<BR>\n" );
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document.write( "for this problem, our best bet for the common denominator is 2x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2x ALIGN=MIDDLE  ALT=\"x%2F2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F2x ALIGN=MIDDLE  ALT=\"6%2F2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2F2x ALIGN=MIDDLE  ALT=\"2x%5E2%2F2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > +<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F2x ALIGN=MIDDLE  ALT=\"6%2F2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, because this is an equation and each side is equal, we can cancel out all of the denominators.\r<BR>\n" );
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document.write( "x + 6 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 6\r<BR>\n" );
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document.write( "And we can finish solving for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - x = 0<BR>\n" );
document.write( "x(2x-1) = 0\r<BR>\n" );
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document.write( "So our answers are 0 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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