document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85434>Question 85434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve.  Express your answer in simplest form.\r<BR>\n" );
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document.write( "x/5x+10 / x-3/x+2 = 7/5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61620 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2F%285x%2B10%29%29+%2F+%28%28x-3%29%2F%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"+%28x%2F%285x%2B10%29%29+%2F+%28%28x-3%29%2F%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F5 ALIGN=MIDDLE  ALT=\"7%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the reciprocal of the denomiator in the left hand side and multiply with the numerator.....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2F%285x%2B10%29%29+%2A+%28%28x%2B2%29%2F%28x-3%29%29 ALIGN=MIDDLE  ALT=\"+%28x%2F%285x%2B10%29%29+%2A+%28%28x%2B2%29%2F%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F5 ALIGN=MIDDLE  ALT=\"7%2F5\"   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=+%28x%2F%285%28x%2B2%29%29%29+%2A+%28%28x%2B2%29%2F%28x-3%29%29 ALIGN=MIDDLE  ALT=\"+%28x%2F%285%28x%2B2%29%29%29+%2A+%28%28x%2B2%29%2F%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F5 ALIGN=MIDDLE  ALT=\"7%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here (x+2) is common in both the numerator and denominator...so they will get cancelled.....\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2F5%29+%2A+%281%2F%28x-3%29%29 ALIGN=MIDDLE  ALT=\"+%28x%2F5%29+%2A+%281%2F%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F5 ALIGN=MIDDLE  ALT=\"7%2F5\"   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=+%28x%2F5%28x-3%29%29 ALIGN=MIDDLE  ALT=\"+%28x%2F5%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2F5 ALIGN=MIDDLE  ALT=\"+7%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here 5 is common in the denominator of both sides of the expression, so they will get cancelled......\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2F%28x-3%29%29 ALIGN=MIDDLE  ALT=\"+%28x%2F%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2F1 ALIGN=MIDDLE  ALT=\"+7%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now multiply the whole expression by 1* (x-3)...that is the whole terms in the denominators (both sides)\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x%2A%28x-3%29%29%2F%28x-3%29%29 ALIGN=MIDDLE  ALT=\"+%28%28x%2A%28x-3%29%29%2F%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287%2A%28x-3%29%29%2F1 ALIGN=MIDDLE  ALT=\"+%287%2A%28x-3%29%29%2F1\"   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=+%28%28x%29%2F1%29 ALIGN=MIDDLE  ALT=\"+%28%28x%29%2F1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287%2A%28x-3%29%29%2F1 ALIGN=MIDDLE  ALT=\"+%287%2A%28x-3%29%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> x = 7(x-3)\r<BR>\n" );
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document.write( "==> x = 7x -21\r<BR>\n" );
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document.write( "add 21 to both sides of the expression.....\r<BR>\n" );
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document.write( "==> x + 21 = 7x \r<BR>\n" );
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document.write( "subtract x from both sides of the expression.....\r<BR>\n" );
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document.write( "==> x + 21 - x = 7x - x\r<BR>\n" );
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document.write( "==> 21 = 6x\r<BR>\n" );
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document.write( "Divide both sides of the expression by 6....\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21%2F6+ ALIGN=MIDDLE  ALT=\"+21%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x\r<BR>\n" );
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document.write( "So solution is  x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F6 ALIGN=MIDDLE  ALT=\"21%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope you found the explanation useful....\r<BR>\n" );
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document.write( "Regards,\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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