document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1758>Question 1758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm taking an algebra class for the first time in years and cannot remember how to solve this:i had got this answer x=6. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2812x+%2B+4%29%2F%282x+%2B+7%29+=+4 ALIGN=MIDDLE  ALT=\"+%2812x+%2B+4%29%2F%282x+%2B+7%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The answer should  be 6 but i can't figure out how to solve. Thanks for any help.\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 #571 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is a nice and simple algebra problem, that utilises the basics. Here goes... just apologies for the * symbol: it confuses more than helps here.\r<BR>\n" );
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document.write( "1. we need to get the bottom part of the fraction to the other side of the =, so that everything is \"on the top\". Since we have a division that we want to \"reverse\", we have to multiply. And whatever we do to one side of any equation, we have to do to the other side, then we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2812x%2B4%29%2F%2812x%2B4%29%29%2A%2812x%2B4%29+=+%284%29%2A%282x%2B7%29 ALIGN=MIDDLE  ALT=\"%28%2812x%2B4%29%2F%2812x%2B4%29%29%2A%2812x%2B4%29+=+%284%29%2A%282x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The left hand side cancels itself (this is whay we did this).\r<BR>\n" );
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document.write( "2. This may look complicated, but what we end up with is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812x%2B4%29=%284%29%2A%282x%2B7%29 ALIGN=MIDDLE  ALT=\"%2812x%2B4%29=%284%29%2A%282x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. What mathematicians usually say is that we have \"cross-multiplied\" to move the bottom of the fraction to the top of the equation.\r<BR>\n" );
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document.write( "3. Now we have to multiply out the right hand side, to give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812x%2B4%29=%288x%2B28%29 ALIGN=MIDDLE  ALT=\"%2812x%2B4%29=%288x%2B28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This process is all about simplifying all the terms so that we can collect them together later.\r<BR>\n" );
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document.write( "4. Now we collect the x terms on one side and the pure numbers on the other side. So, to move the 8x, we effectively subtract 8x from both sides (since one of the basic rules of algebra is \"whatever you do to one side, you have to do to the other\"). This leaves: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x+%2B+4%29+=+%2828%29 ALIGN=MIDDLE  ALT=\"%284x+%2B+4%29+=+%2828%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "5. We then need to move the 4 from the right to the left-hand side of the =. Again, we have a +4, so we have to subtract 4 from both sides. This leaves <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29+=+%2824%29 ALIGN=MIDDLE  ALT=\"%284x%29+=+%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "6. Last thing now is to get from 4 x's to 1 x. To do this we divide by 4: if we know that 4 apples cost £1 then 1 apples is 25p...you divide). And again, we do the division to both sides... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2F4%29+=+%2824%2F4%29 ALIGN=MIDDLE  ALT=\"%284x%2F4%29+=+%2824%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "7. The answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The acceptable solution would be written as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812x%2B4%29%2F%282x%2B7%29+=+%284%29 ALIGN=MIDDLE  ALT=\"%2812x%2B4%29%2F%282x%2B7%29+=+%284%29\"   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=%2812x%2B4%29+=+4%282x%2B7%29 ALIGN=MIDDLE  ALT=\"%2812x%2B4%29+=+4%282x%2B7%29\"   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=%2812x%2B4%29+=+%288x%2B28%29 ALIGN=MIDDLE  ALT=\"%2812x%2B4%29+=+%288x%2B28%29\"   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=%284x%29+=+24 ALIGN=MIDDLE  ALT=\"%284x%29+=+24\"   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=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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