document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=116813>Question 116813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each of the following equations for x.\r<BR>\n" );
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document.write( "5 over x + 6  PLUS  2 over x squared + 7x + 6  EQUALS  3 over x + 1\r<BR>\n" );
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document.write( "2 over 5 = x - 2 over 20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84958 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=84958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve each of the following equations for<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x ALIGN=MIDDLE  ALT=\"+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >: \r<BR>\n" );
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document.write( "1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%2B6%29+%2B+2%2F%28x%5E2+%2B+7x+%2B+6%29+=+3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%2B6%29+%2B+2%2F%28x%5E2+%2B+7x+%2B+6%29+=+3%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >………. replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x+ ALIGN=MIDDLE  ALT=\"7x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6x ALIGN=MIDDLE  ALT=\"x%2B6x\"   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=5%2F%28x%2B6%29+%2B+2%2F%28x%5E2+%2B+x+%2B+6x+%2B+6%29+=+3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%2B6%29+%2B+2%2F%28x%5E2+%2B+x+%2B+6x+%2B+6%29+=+3%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >………. group the first two terms together and the last two terms together\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%2B6%29+%2B+2%2F%28%28x%5E2+%2B+x+%29%2B+%286x+%2B+6%29%29+=+3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%2B6%29+%2B+2%2F%28%28x%5E2+%2B+x+%29%2B+%286x+%2B+6%29%29+=+3%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >………. factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the first group and factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the second group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%2B6%29+%2B+2%2F%28x%28x+%2B+1+%29%2B+6%28x+%2B+1%29%29+=+3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%2B6%29+%2B+2%2F%28x%28x+%2B+1+%29%2B+6%28x+%2B+1%29%29+=+3%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >………. combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%2B6%29+%2B+2%2F%28%28x+%2B+6%29%28x+%2B+1%29%29+=+3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%2B6%29+%2B+2%2F%28%28x+%2B+6%29%28x+%2B+1%29%29+=+3%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….common denominator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x+%2B+6%29%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"+%28x+%2B+6%29%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; multiply both sides by it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F%28x%2B6%29%29+%28x+%2B+6%29%28x+%2B+1%29+%2B+%282%2F%28%28x+%2B+6%29%28x+%2B+1%29%29%29+%28x+%2B+6%29%28x+%2B+1%29+=+%283%2F%28x%2B1%29%29+%28x+%2B+6%29%28x+%2B+1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >……….cancel out\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x+%2B+1%29+%2B+2=+3+%28x+%2B+6%29 ALIGN=MIDDLE  ALT=\"5%28x+%2B+1%29+%2B+2=+3+%28x+%2B+6%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=5x+%2B+5+%2B+2=+3+x+%2B+18 ALIGN=MIDDLE  ALT=\"5x+%2B+5+%2B+2=+3+x+%2B+18\"   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=5x+-3x=+18+%96+5+-+2 ALIGN=MIDDLE  ALT=\"5x+-3x=+18+%96+5+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=+11 ALIGN=MIDDLE  ALT=\"2x=+11\"   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=+11%2F2 ALIGN=MIDDLE  ALT=\"x=+11%2F2\"   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=+5.5 ALIGN=MIDDLE  ALT=\"x=+5.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28x%2B6%29+%2B+2%2F%28x%5E2+%2B+7x+%2B+6%29+=+3%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"5%2F%28x%2B6%29+%2B+2%2F%28x%5E2+%2B+7x+%2B+6%29+=+3%2F%28x%2B1%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=5%2F%285.5%2B6%29+%2B+2%2F%28%285.5%29%5E2+%2B+7%2A5.5+%2B+6%29+=+3%2F%285.5%2B1%29 ALIGN=MIDDLE  ALT=\"5%2F%285.5%2B6%29+%2B+2%2F%28%285.5%29%5E2+%2B+7%2A5.5+%2B+6%29+=+3%2F%285.5%2B1%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=5%2F11.5+%2B+2%2F%2830.25+%2B+38.5+%2B+6%29+=+3%2F6.5 ALIGN=MIDDLE  ALT=\"5%2F11.5+%2B+2%2F%2830.25+%2B+38.5+%2B+6%29+=+3%2F6.5\"   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=0.43+%2B+2%2F74.75+=+0.46 ALIGN=MIDDLE  ALT=\"0.43+%2B+2%2F74.75+=+0.46\"   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=0.43+%2B+0.02675=+0.46 ALIGN=MIDDLE  ALT=\"0.43+%2B+0.02675=+0.46\"   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=0.456+=+0.46 ALIGN=MIDDLE  ALT=\"0.456+=+0.46\"   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=0.46+=+0.46 ALIGN=MIDDLE  ALT=\"0.46+=+0.46\"   DISABLED_style= \"max-width:90%; height:auto;\" >………. \r<BR>\n" );
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document.write( "2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5+=+%28x-2%29%2F20 ALIGN=MIDDLE  ALT=\"2%2F5+=+%28x-2%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" >………. multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   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=20%2A2%2F5+=+20%28x-2%29%2F20 ALIGN=MIDDLE  ALT=\"20%2A2%2F5+=+20%28x-2%29%2F20\"   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=4%2A2+=+%28x-2%29 ALIGN=MIDDLE  ALT=\"4%2A2+=+%28x-2%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=8+%2B2=x+ ALIGN=MIDDLE  ALT=\"8+%2B2=x+\"   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+=+10++ ALIGN=MIDDLE  ALT=\"x+=+10++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5+=+%28x-2%29%2F20 ALIGN=MIDDLE  ALT=\"2%2F5+=+%28x-2%29%2F20\"   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=2%2F5+=+%2810-2%29%2F20 ALIGN=MIDDLE  ALT=\"2%2F5+=+%2810-2%29%2F20\"   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=2%2F5+=+8%2F20 ALIGN=MIDDLE  ALT=\"2%2F5+=+8%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" >………. reduce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F20=%288%3A4%29%2F%2820%3A4%29 ALIGN=MIDDLE  ALT=\"8%2F20=%288%3A4%29%2F%2820%3A4%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=2+%2F+5+=+2%2F+5 ALIGN=MIDDLE  ALT=\"2+%2F+5+=+2%2F+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >………….\r<BR>\n" );
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document.write( " </SPAN>\n" );
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