document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=638413>Question 638413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rational Equations. Solve the equation.<BR>\n" );
document.write( "6/(x-1)+(2x)/(x-2)=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402339 by </B><A HREF=/tutors/aboutme.mpl?userid=Susmitha><B>Susmitha(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Susmitha><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=Susmitha><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=402339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6/(x-1)+2x/(x-2)=2   (given)<BR>\n" );
document.write( "6(x-2)+2x(x-1)/(x-1)(x-2)=2<BR>\n" );
document.write( "6x-12+2x^2-2x=2(x-1)(x-2)<BR>\n" );
document.write( "2x^2+4x-12=2[x^2-2x-x+2]<BR>\n" );
document.write( "2x^2+4x-12=2x^2 -6x+4<BR>\n" );
document.write( "4x-12=-6x+4<BR>\n" );
document.write( "4x+6x=4+12<BR>\n" );
document.write( "10x=16<BR>\n" );
document.write( "x=16/10<BR>\n" );
document.write( "x=1.6<BR>\n" );
document.write( "here x^2 indicates x square or square of x<BR>\n" );
document.write( "you can check the answer by substituting the obtained value of x in the given equation. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );