document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335132>Question 335132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem is solving for X. (rational equation)<BR>\n" );
document.write( "There should be a line under each one (between x+4 and x+5 and then another between x-2 and x+4) with ONE equal sign.\r<BR>\n" );
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document.write( "x+4  =  x-2<BR>\n" );
document.write( "x+5  =  x+4\r<BR>\n" );
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document.write( "Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #240185 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=240185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I presume you mean the following:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%2F%28x%2B5%29+=+%28x-2%29%2F%28x%2B4%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%2F%28x%2B5%29+=+%28x-2%29%2F%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you cross multiply, you get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%5E2+=+%28x-2%29+%2A+%28x%2B5%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%5E2+=+%28x-2%29+%2A+%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you multiply these out, you will get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+8x+%2B+16+=+x%5E2+%2B+3x+-+10 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+8x+%2B+16+=+x%5E2+%2B+3x+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If  you subtract the expression on the right side of the equation from both sides of the equation, then you will get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+8x+%2B+16+-+x%5E2+-+3x+%2B+10+=+x%5E2+%2B+3x+-+10+-+x%5E2+-+3x+%2B+10 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+8x+%2B+16+-+x%5E2+-+3x+%2B+10+=+x%5E2+%2B+3x+-+10+-+x%5E2+-+3x+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When you combine like terms, you will get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+26+=+0 ALIGN=MIDDLE  ALT=\"5x+%2B+26+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you subtract 26 from both sides of this equation, you will get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+=+-26 ALIGN=MIDDLE  ALT=\"5x+=+-26\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you divide both sides of this equation by 5, you will get:\r<BR>\n" );
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document.write( "x = -26/5\r<BR>\n" );
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document.write( "That should be your answer.\r<BR>\n" );
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document.write( "Substitute for x in your original equation to see if it comes out true.\r<BR>\n" );
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document.write( "You start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%2F%28x%2B5%29+=+%28x-2%29%2F%28x%2B4%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%2F%28x%2B5%29+=+%28x-2%29%2F%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since -26/5 = -5.2, then you replace x with -5.2 to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5.2%2B4%29%2F%28-5.2%2B5%29+=+%28-5.2-2%29%2F%28-5.2%2B4%29 ALIGN=MIDDLE  ALT=\"%28-5.2%2B4%29%2F%28-5.2%2B5%29+=+%28-5.2-2%29%2F%28-5.2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1.2%29%2F%28-.2%29+=+%28-7.2%29%2F%28-1.2%29 ALIGN=MIDDLE  ALT=\"%28-1.2%29%2F%28-.2%29+=+%28-7.2%29%2F%28-1.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+6 ALIGN=MIDDLE  ALT=\"6+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is true, confirming that your answer of x = -26/5 = -5.2 is correct.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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