document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214418>Question 214418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this equations.\r<BR>\n" );
document.write( "\n" );
document.write( "6/2x-1 = 3/x+1 + 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161956 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=161956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve this equations. <BR>\n" );
document.write( "6/2x-1 = 3/x+1 + 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply both sides by (x+1)(2x-1) to get:<BR>\n" );
document.write( "6(x+1) = 3(2x-1) + (x+1)(2x-1)<BR>\n" );
document.write( "6x + 6 = 6x - 3 + 2x^2 + x -1<BR>\n" );
document.write( "2x^2 +x -10 = 0<BR>\n" );
document.write( "2x^2 +5x - 4x - 10 = 0<BR>\n" );
document.write( "x(2x+5) -2(2x+5) = 0<BR>\n" );
document.write( "(2x+5)(x-2) = 0<BR>\n" );
document.write( "x = -5/2 or x = 2<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );