document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101825>Question 101825</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x<BR>\n" );
document.write( "2x+1 over 5 = x-6 over 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74035 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solving for x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%2F5=%28x-6%29%2F2 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%2F5=%28x-6%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "first move everything to one side of the equation<BR>\n" );
document.write( "lets move <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%2F2 ALIGN=MIDDLE  ALT=\"%28x-6%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the left side of the equation<BR>\n" );
document.write( "to do this just subtract it from both sides like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%2B1%29%2F5%29-%28%28x-6%29%2F2%29=%28%28x-6%29%2F2%29-%28%28x-6%29%2F2%29 ALIGN=MIDDLE  ALT=\"%28%282x%2B1%29%2F5%29-%28%28x-6%29%2F2%29=%28%28x-6%29%2F2%29-%28%28x-6%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the right side cancels out so we are left with this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%2B1%29%2F5%29-%28%28x-6%29%2F2%29=0 ALIGN=MIDDLE  ALT=\"%28%282x%2B1%29%2F5%29-%28%28x-6%29%2F2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now to subtract the fractions on the left side we need find the LCD (least common denominator)The LCD for 5 and 2 is 10 so that gives us this\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284x%2B2%29%2F10%29-%28%285x-30%29%2F10%29=0 ALIGN=MIDDLE  ALT=\"%28%284x%2B2%29%2F10%29-%28%285x-30%29%2F10%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now we can subtract the fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x%2B32%29%2F10=0 ALIGN=MIDDLE  ALT=\"%28-x%2B32%29%2F10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides of the equation by 10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B32=0 ALIGN=MIDDLE  ALT=\"-x%2B32=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract 32 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B32-32=0-32 ALIGN=MIDDLE  ALT=\"-x%2B32-32=0-32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x+=+-32 ALIGN=MIDDLE  ALT=\"-x+=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by -1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=32 ALIGN=MIDDLE  ALT=\"x=32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<b>Answer: x = 32</b><BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "replace x in original equation with 32<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%2F5=%28x-6%29%2F2 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%2F5=%28x-6%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2832%29%2B1%29%2F5=%2832-6%29%2F2 ALIGN=MIDDLE  ALT=\"%282%2832%29%2B1%29%2F5=%2832-6%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2864%2B1%29%2F5=26%2F2 ALIGN=MIDDLE  ALT=\"%2864%2B1%29%2F5=26%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65%2F5=26%2F2 ALIGN=MIDDLE  ALT=\"65%2F5=26%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13=13 ALIGN=MIDDLE  ALT=\"13=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------------------------<BR>\n" );
document.write( "here is another approach to solving this problem <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%2F5=%28x-6%29%2F2 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%2F5=%28x-6%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%282x%2B1%29%2F5=5%2A%28x-6%29%2F2 ALIGN=MIDDLE  ALT=\"5%2A%282x%2B1%29%2F5=5%2A%28x-6%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1=%285x-30%29%2F2 ALIGN=MIDDLE  ALT=\"2x%2B1=%285x-30%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now multiply both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%282x%2B1%29=2%2A%285x-30%29%2F2 ALIGN=MIDDLE  ALT=\"2%282x%2B1%29=2%2A%285x-30%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B2=5x-30 ALIGN=MIDDLE  ALT=\"4x%2B2=5x-30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "move all x terms to one side of the equation and <BR>\n" );
document.write( "all terms with out x to the opposite side of the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2B2=5x-4x ALIGN=MIDDLE  ALT=\"30%2B2=5x-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32+=+x ALIGN=MIDDLE  ALT=\"32+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );