document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200806>Question 200806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what are the steps i need to take to solve this algebraically<BR>\n" );
document.write( "  4- x/x-2= -2/x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151052 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=151052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume you meant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4-+x%2F%28x-2%29=+-2%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"+4-+x%2F%28x-2%29=+-2%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you meant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284-+x%29%2F%28x-2%29=+-2%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"+%284-+x%29%2F%28x-2%29=+-2%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then use the same logic as shown below, get the answer x=6.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4-+x%2F%28x-2%29=+-2%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"+4-+x%2F%28x-2%29=+-2%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  You need to get a common denominator. Two terms are already over (x-2), so use that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28%28x-2%29%2F%28x-2%29%29+-+x%2F%28x-2%29=+-2%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"4%2A%28%28x-2%29%2F%28x-2%29%29+-+x%2F%28x-2%29=+-2%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284x-8+-x%29%2F%28x-2%29+=+-2%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"+%284x-8+-x%29%2F%28x-2%29+=+-2%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > note that in order for the terms in this equation to be real, x cannot equal 2. If x=2, then the denominator is undefined<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-8+=+-2 ALIGN=MIDDLE  ALT=\"3x-8+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+6 ALIGN=MIDDLE  ALT=\"3x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But we know from above that x=2 makes the equation undefined. So, there are not values of x that satisfy this equation.\r<BR>\n" );
document.write( "\n" );
document.write( "Here is a link to a really great tool that will help you check your answers. <BR>\n" );
document.write( "http://www34.wolframalpha.com/input/?i=4-+x%2F(x-2)%3D+-2%2F(x-2)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );