document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=682817>Question 682817</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this equation for x with working:\r<BR>\n" );
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document.write( "(x+3)/(x+5)=(x+1)/(x+2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423346 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423346\">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=%28x%2B3%29%2F%28x%2B5%29=%28x%2B1%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%2F%28x%2B5%29=%28x%2B1%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can cross multiply when you have a fraction equal to another, however multiplying both sides by the LCD works every time for rational equations.<BR>\n" );
document.write( "The LCD is (x+5)(x+2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%28x%2B2%29%28x%2B3%29%2F%28x%2B5%29=%28x%2B5%29%28x%2B2%29%28x%2B1%29%2F%28x%2B2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The denominators cancel:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x%2B3%29=%28x%2B5%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x%2B3%29=%28x%2B5%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Foil and solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%2B3x%2B6=x%5E2%2Bx%2B5x%2B5 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%2B3x%2B6=x%5E2%2Bx%2B5x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5x%2B6=x%5E2%2B6x%2B5 ALIGN=MIDDLE  ALT=\"x%5E2%2B5x%2B6=x%5E2%2B6x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2Bx%5E2%2B5x%2B6=-x%5E2%2Bx%5E2%2B6x%2B5 ALIGN=MIDDLE  ALT=\"-x%5E2%2Bx%5E2%2B5x%2B6=-x%5E2%2Bx%5E2%2B6x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B6=6x%2B5 ALIGN=MIDDLE  ALT=\"5x%2B6=6x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2B5x%2B6=-5x%2B6x%2B5 ALIGN=MIDDLE  ALT=\"-5x%2B5x%2B6=-5x%2B6x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=x%2B5 ALIGN=MIDDLE  ALT=\"6=x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-5=x%2B5-5 ALIGN=MIDDLE  ALT=\"6-5=x%2B5-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=x ALIGN=MIDDLE  ALT=\"1=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "*Note*  Always check and make sure that your answer does not make any denominator 0...that makes fractions undefined.  If you had gotten -5 or -2, then there would be no solution.<BR>\n" );
document.write( "Happy Calculating. </SPAN>\n" );
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