document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172130>Question 172130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5/x + 7/6 = 4/(x-4), solve for x.\r<BR>\n" );
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document.write( "I am confused as to how I come up with the LCD for these to be able to solve for x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127166 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127166\">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=5%2Fx+%2B+7%2F6+=+4%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"5%2Fx+%2B+7%2F6+=+4%2F%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you multiply each side by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2A%28x+-+4%29 ALIGN=MIDDLE  ALT=\"6x%2A%28x+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "that will guarantee that no fractions will<BR>\n" );
document.write( "be left<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A6%2A%28x+-+4%29+%2B+7x%2A%28x+-+4%29+=+4%2A6%2Ax ALIGN=MIDDLE  ALT=\"5%2A6%2A%28x+-+4%29+%2B+7x%2A%28x+-+4%29+=+4%2A6%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2A%28x+-+4%29+%2B+7x%2A%28x+-+4%29+=+24x ALIGN=MIDDLE  ALT=\"30%2A%28x+-+4%29+%2B+7x%2A%28x+-+4%29+=+24x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x+-+120+%2B+7x%5E2+-+28x+=+24x ALIGN=MIDDLE  ALT=\"30x+-+120+%2B+7x%5E2+-+28x+=+24x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2+-+22x+-+120+=+0 ALIGN=MIDDLE  ALT=\"7x%5E2+-+22x+-+120+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+7 ALIGN=MIDDLE  ALT=\"a+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-22 ALIGN=MIDDLE  ALT=\"b+=+-22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-120 ALIGN=MIDDLE  ALT=\"c+=+-120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-22%29+%2B-+sqrt%28+%28-22%29%5E2-4%2A7%2A%28-120%29+%29%29%2F%282%2A7%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-22%29+%2B-+sqrt%28+%28-22%29%5E2-4%2A7%2A%28-120%29+%29%29%2F%282%2A7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2822+%2B-+sqrt%28+484+%2B+3360+%29%29+%2F+14+ ALIGN=MIDDLE  ALT=\"x+=+%2822+%2B-+sqrt%28+484+%2B+3360+%29%29+%2F+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2822+%2B-+sqrt%283844%29%29+%2F+14+ ALIGN=MIDDLE  ALT=\"x+=+%2822+%2B-+sqrt%283844%29%29+%2F+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2822+%2B+62%29+%2F+14+ ALIGN=MIDDLE  ALT=\"x+=+%2822+%2B+62%29+%2F+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2822+-+62%29+%2F+14 ALIGN=MIDDLE  ALT=\"x+=+%2822+-+62%29+%2F+14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-%2820%2F7%29 ALIGN=MIDDLE  ALT=\"x+=+-%2820%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I checked both answers, and they look right<BR>\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );