document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220734>Question 220734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "2x+1   <3<BR>\n" );
document.write( "_____\r<BR>\n" );
document.write( "\n" );
document.write( "x-5\r<BR>\n" );
document.write( "\n" );
document.write( "I tried this:\r<BR>\n" );
document.write( "\n" );
document.write( "x and x cancel eachother so its\r<BR>\n" );
document.write( "\n" );
document.write( "x+1     <3<BR>\n" );
document.write( "___<BR>\n" );
document.write( "-5\r<BR>\n" );
document.write( "\n" );
document.write( "then multiply the demonator and numerator by 5/1 so that leaves x<3??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165634 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%2F%28x-5%29%3C3 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%2F%28x-5%29%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Whoa there... you can't cancel the x's in this case...you can only cancel factors, not when x is added to something.<BR>\n" );
document.write( "In this case, first multipy each side of the inequality by (x-5):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%2B1%29%28x-5%29%29%2F%28x-5%29%3C3%28x-5%29 ALIGN=MIDDLE  ALT=\"%28%282x%2B1%29%28x-5%29%29%2F%28x-5%29%3C3%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can cancel the x-5 terms on the left because they are factors. This leaves you with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1%3C3%28x-5%29 ALIGN=MIDDLE  ALT=\"2x%2B1%3C3%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multipy out the term on the right:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1%3C3x-15 ALIGN=MIDDLE  ALT=\"2x%2B1%3C3x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next you want to get the x terms on one side of the inequality and other terms on the other side.<BR>\n" );
document.write( "Add -3x to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3x%2B1%3C3x-3x-15 ALIGN=MIDDLE  ALT=\"2x-3x%2B1%3C3x-3x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B1%3C-15 ALIGN=MIDDLE  ALT=\"-x%2B1%3C-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add -1 to each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B1-1%3C-15-1 ALIGN=MIDDLE  ALT=\"-x%2B1-1%3C-15-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%3C-16 ALIGN=MIDDLE  ALT=\"-x%3C-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply each side by -1. Note, when you multiply each side by a negative number, you must swap the inequality:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3E16%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3E16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );