document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=586487>Question 586487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can you solve for X in the following equation?\r<BR>\n" );
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document.write( "3/(X+1)+(X-2)/3=13/(3(x+1))\r<BR>\n" );
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document.write( "I tried cross-multiplying and simplifying, but I cannot get any reasonable answers.\r<BR>\n" );
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document.write( "Thank you for helping me with this issue. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373772 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3}{x\ +\ 1}\ +\ \frac{x\ -\ 2}{3}\ =\ \frac{13}{3(x\ +\ 1)}\">\r<BR>\n" );
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document.write( "You have three denominators, two of which are factors of the third and those two have no common factors.  Hence, the composite denominator (the one in the RHS of the equation) is your Lowest Common Denominator.  Apply the LCD:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{9}{3(x\ +\ 1)}\ +\ \frac{x^2\ -\ x\ -\ 2}{3(x\ +\ 1)}\ =\ \frac{13}{3(x\ +\ 1)}\">\r<BR>\n" );
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document.write( "Multiply both sides by the now common denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 9\ +\ x^2\ -\ x\ -\ 2\ =\ 13\">\r<BR>\n" );
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document.write( "Collect terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ x\ -\ 6\ =\ 0\">\r<BR>\n" );
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document.write( "Solve the factorable quadratic.  Check BOTH roots.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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