document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116739>Question 1116739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x++-++%282x%2B11%29%2F5++-++%284x-6%29%2F11++=++-+%287-8x%29%2F7+ ALIGN=MIDDLE  ALT=\"+2x++-++%282x%2B11%29%2F5++-++%284x-6%29%2F11++=++-+%287-8x%29%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "How I tried: 2x - (2x+11)/5= (10x-2x+11)/5<BR>\n" );
document.write( "So,  (10x-2x+11)/5 - (4x-6)/11  =  (7-8x)/7  equals (10x-2x+11)/5 times 385(385 is the LCM of the denominators)  -  (4x-6)/11 times  385 = -(7-8x)/7 times 385, which equals  770x-154x+847-140x-210=-385-440x           <BR>\n" );
document.write( "Now, Transposition:  770x+440x-154x-140x=-385-847+210 which equals 916x=1442<BR>\n" );
document.write( "                                                                                                                                x=1 526/916<BR>\n" );
document.write( "This is the wrong answer; the answer from my key book is 7. I hope you can understand my equation; I've worked it several times and can't get the right answer!  I don't think I'm understanding how to work this kind of equation. I appreciate any help you can offer, if you can't understand or get the equation it's ok! \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731652 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=731652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I fail to why <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+%282x%2B11%29%2F5=+%2810x-2x%2B11%29%2F5 ALIGN=MIDDLE  ALT=\"2x+-+%282x%2B11%29%2F5=+%2810x-2x%2B11%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is part of your post.<BR>\n" );
document.write( "I imagine it is a typo of sorts.<BR>\n" );
document.write( "It has nothing to do with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x++-++%282x%2B11%29%2F5++-++%284x-6%29%2F11++=++-+%287-8x%29%2F7+ ALIGN=MIDDLE  ALT=\"2x++-++%282x%2B11%29%2F5++-++%284x-6%29%2F11++=++-+%287-8x%29%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "AS you said, the LCM of the denominators is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A7%2A11=35%2A11=385 ALIGN=MIDDLE  ALT=\"5%2A7%2A11=35%2A11=385\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Multiplying both sides of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-%282x%2B11%29%2F5-%284x-6%29%2F11=-%287-8x%29%2F7 ALIGN=MIDDLE  ALT=\"2x-%282x%2B11%29%2F5-%284x-6%29%2F11=-%287-8x%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=385=7%2A11 ALIGN=MIDDLE  ALT=\"385=7%2A11\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we get in more, or less, or different steps<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=385%2A2x-5%2A7%2A11%282x%2B11%29%2F5-5%2A7%2A11%284x-6%29%2F11=-5%2A7%2A11%287-8x%29%2F7 ALIGN=MIDDLE  ALT=\"385%2A2x-5%2A7%2A11%282x%2B11%29%2F5-5%2A7%2A11%284x-6%29%2F11=-5%2A7%2A11%287-8x%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=770x-77%282x%2B11%29-35%284x-6%29%2F11=-55%287-8x%29%2F7 ALIGN=MIDDLE  ALT=\"770x-77%282x%2B11%29-35%284x-6%29%2F11=-55%287-8x%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=770x-154x-847-140x%2B210=-385%2B440x ALIGN=MIDDLE  ALT=\"770x-154x-847-140x%2B210=-385%2B440x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=770x-154x-140x-440x=847-210-385 ALIGN=MIDDLE  ALT=\"770x-154x-140x-440x=847-210-385\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576x-637=-385%2B440x ALIGN=MIDDLE  ALT=\"576x-637=-385%2B440x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x=252 ALIGN=MIDDLE  ALT=\"36x=252\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=252%2F36=7 ALIGN=MIDDLE  ALT=\"x=252%2F36=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "There are signs that are wrong in<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=770x%2B440x-154x-140x=-385-847%2B210 ALIGN=MIDDLE  ALT=\"770x%2B440x-154x-140x=-385-847%2B210\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but that occasionally happens to the best of us.<BR>\n" );
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document.write( "It should be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=770x-440x-154x-140x=-385%2B847-210 ALIGN=MIDDLE  ALT=\"770x-440x-154x-140x=-385%2B847-210\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "When you see that you get a very ugly fraction,<BR>\n" );
document.write( "you have to suspect you made a mistake.<BR>\n" );
document.write( "The problem, as I found out in an exam over 50 tears ago,<BR>\n" );
document.write( "is to find where you made a mistake.<BR>\n" );
document.write( "A sign can mutate as you copy the equation from the bottom of page 1<BR>\n" );
document.write( "to the top of page 2, as I remember well.<BR>\n" );
document.write( "The solution (in math class, not in life) should be as simple as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "which makes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=14 ALIGN=MIDDLE  ALT=\"2x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=28 ALIGN=MIDDLE  ALT=\"4x=28\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x=56 ALIGN=MIDDLE  ALT=\"8x=56\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "You can substitute to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=14 ALIGN=MIDDLE  ALT=\"2x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B11%29%2F5=%2814%2B11%29%2F5=35%2F5=7 ALIGN=MIDDLE  ALT=\"%282x%2B11%29%2F5=%2814%2B11%29%2F5=35%2F5=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-6%29%2F11=%2828-6%29%2F11=22%2F11=2 ALIGN=MIDDLE  ALT=\"%284x-6%29%2F11=%2828-6%29%2F11=22%2F11=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-8x%29%2F7=%287-56%29%2F7=%28-49%29%2F7=7 ALIGN=MIDDLE  ALT=\"%287-8x%29%2F7=%287-56%29%2F7=%28-49%29%2F7=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and that makes verifying the solution very simple and easy. </SPAN>\n" );
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