document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463386>Question 463386</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the following equation for x\r<BR>\n" );
document.write( "\n" );
document.write( "3/x-3+7/x+3=5x/x^2-9\r<BR>\n" );
document.write( "\n" );
document.write( "these are 3 fractions, I get close, but somehow get messed up </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317512 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3/(x - 3) + 7/(x + 3) = 5x/(x² - 9)<BR>\n" );
document.write( "3/(x - 3) + 7/(x + 3) = 5x/(x + 3)(x - 3) {factored x² - 9 into (x + 3)(x - 3)}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Multiply entire equation by least common denominator (x + 3)(x - 3)<BR>\n" );
document.write( "(x + 3)(x - 3)[3/(x - 3) + 7/(x + 3) = 5x/(x + 3)(x - 3)]\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Multiply each term by (x + 3)(x - 3)<BR>\n" );
document.write( "(x + 3)(x - 3)[3/(x - 3)] + (x + 3)(x - 3)[7/(x + 3)] = (x + 3)(x - 3)5x/(x + 3)(x - 3)]\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3(x + 3) + 7(x - 3) = 5x {cancelled and multiplied what's left}<BR>\n" );
document.write( "3x + 9 + 7x - 21 = 5x {used distributive property}<BR>\n" );
document.write( "10x - 12 = 5x {combined like terms}<BR>\n" );
document.write( "-12 = -5x {subtracted 10x from both sides}<BR>\n" );
document.write( "x = 12/5 {divided both sides by -5}<BR>\n" );
document.write( "<br>For more help from me, visit: <a  rel=nofollow HREF= \"http://www.algebrahouse.com/\" target = \"_blank\">www.algebrahouse.com</a><br><br><br> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );