document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988776>Question 988776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x in the equation:<BR>\n" );
document.write( "1/x-1/3x-1/2x=6/x+1\r<BR>\n" );
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document.write( "I desperately need help, especially with details on how to solve. I started by trying to find a common denominator, but I am stuck.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609232 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=609232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming you mean exactly as written, the equation would look like this if properly rendered:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx-1%2F3x-1%2F2x=6%2Fx%2B1 ALIGN=MIDDLE  ALT=\"1%2Fx-1%2F3x-1%2F2x=6%2Fx%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The denominators found are:  x, 3x, 2x, x.<BR>\n" );
document.write( "Some ambiguity is possible but I am guessing those x are part of the denominators.  Without explaining, the lowest or simplest common denominator is 6x.\r<BR>\n" );
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document.write( "Multiply the left and right members by 6x in order to begin simplifying and to solve the equation.  If you are still stuck, say so.\r<BR>\n" );
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document.write( "Your actual equation in PURE TEXT needs to be 1/x-1/(3x)-1/(2x)=6/(x+1).<BR>\n" );
document.write( "Rendering tags triple left and triple right curly brackets will give the<BR>\n" );
document.write( "more expected appearance,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx-1%2F%283x%29-1%2F%282x%29=6%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"1%2Fx-1%2F%283x%29-1%2F%282x%29=6%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now, the denominators are<BR>\n" );
document.write( "x<BR>\n" );
document.write( "3x<BR>\n" );
document.write( "2x<BR>\n" );
document.write( "x+1<BR>\n" );
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document.write( "The simplest COMMON denominator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%28x%2B1%29 ALIGN=MIDDLE  ALT=\"6x%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which you should use in this factored form.\r<BR>\n" );
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document.write( "Solving with the steps as described earlier,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx-1%2F%283x%29-1%2F%282x%29%296x%28x%2B1%29=%286%2F%28x%2B1%29%296x%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%281%2Fx-1%2F%283x%29-1%2F%282x%29%296x%28x%2B1%29=%286%2F%28x%2B1%29%296x%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----multiply both sides by 6x(x+1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28x%2B1%29-2%28x%2B1%29-3%28x%2B1%29=6%2A6x ALIGN=MIDDLE  ALT=\"6%28x%2B1%29-2%28x%2B1%29-3%28x%2B1%29=6%2A6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >------Left-side member results from Distributive Property<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B6-2x-2-3x-3=36x ALIGN=MIDDLE  ALT=\"6x%2B6-2x-2-3x-3=36x\"   DISABLED_style= \"max-width:90%; height:auto;\" >------Distributive Property again<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-2x-3x%2B6-2-3=36x ALIGN=MIDDLE  ALT=\"6x-2x-3x%2B6-2-3=36x\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------equivalent to commutative property for addition<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=36x ALIGN=MIDDLE  ALT=\"x%2B1=36x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=35x ALIGN=MIDDLE  ALT=\"1=35x\"   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%2F35%29 ALIGN=MIDDLE  ALT=\"highlight%28x=1%2F35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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