document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=458381>Question 458381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x/5 - x+2/3 = 1/15\r<BR>\n" );
document.write( "\n" );
document.write( "How would I solve this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314475 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=314475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F5+-+x+%2B+2%2F3+=+1%2F15 ALIGN=MIDDLE  ALT=\"x%2F5+-+x+%2B+2%2F3+=+1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Start by noticing that you have denominators of 5, 3, and 15.  This means that since 5 and 3 are factors of 15 you have a common denominator of 15. Therefore, to get rid of the denominators, just multiply both sides (all terms) of the equation by 15 as follows:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%2F5+-+15x+%2B%2815%2A2%29%2F3+=+%2815%2A1%29%2F15 ALIGN=MIDDLE  ALT=\"15x%2F5+-+15x+%2B%2815%2A2%29%2F3+=+%2815%2A1%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Simplify slightly by multiplying 15 times 2 in the numerator of the third term on the left side and 15 times 1 in the numerator on the right side to get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x%2F5+-+15x+%2B+30%2F3+=+15%2F15 ALIGN=MIDDLE  ALT=\"15x%2F5+-+15x+%2B+30%2F3+=+15%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Then in each term having a denominator, divide that denominator into its corresponding numerator and you have:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+15x+%2B+10+=+1 ALIGN=MIDDLE  ALT=\"3x+-+15x+%2B+10+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Combine the 3x and -15x on the left side and you get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12x+%2B+10+=+1 ALIGN=MIDDLE  ALT=\"-12x+%2B+10+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Get rid of the + 10 on the left side by subtracting 10 from both sides:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12x+=+-9 ALIGN=MIDDLE  ALT=\"-12x+=+-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Solve for x by dividing both sides of the equation by -12:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12x%2F-12+=+-9%2F-12 ALIGN=MIDDLE  ALT=\"-12x%2F-12+=+-9%2F-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "which simplifies to:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9%2F12 ALIGN=MIDDLE  ALT=\"x+=+9%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F4 ALIGN=MIDDLE  ALT=\"x+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this helps you understand how you can eliminate denominators to make problems a little easier to work with.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );