document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734479>Question 734479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve the following equation? <BR>\n" );
document.write( "           n + 2 / 5 = n - 14\r<BR>\n" );
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document.write( "My original problem was a word problem that stated:<BR>\n" );
document.write( "2 more than a number divided by 5 is equal to 14 less than that number.\r<BR>\n" );
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document.write( "The answer I was given was 20, but that doesn't fit to balance the scales and I've found that the book sometimes has the wrong answers. If I use 18, I get 4 on both sides as the answer. If that's right, I don't know how to show my work. I found it just by using the 20 in place of the \"n\" and realizing that didn't work, so I started working backwards from there. I tried using the formulas I knew to figure it with the 20 as shown below and wasn't getting anywhere. I still can't make them work with the 18 either.\r<BR>\n" );
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document.write( "I've tried splitting the numerator, which gives me n/5 + 2/5, which I think is 2n/5 = n-14 because the denominators are the same, so I just add the top; then, multiplying by 5 on both sides, I end up with 2n = negative 70; when I minus the one \"n\" from the 2n, I get n= negative 70 which doesn't fit.\r<BR>\n" );
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document.write( "I also tried rearranging it like: n/5 + 2 = n - 14. In this case, I either get the same answer or I tried taking away the 2 on both sides first. Then, multiplying by 5 on both, giving me n = n-80. That doesn't make sense either.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448974 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=448974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  How do I solve the following equation?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n+%2B+2%29%2F5 ALIGN=MIDDLE  ALT=\"%28n+%2B+2%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = n - 14<BR>\n" );
document.write( "you're making this way too complicated, do this:<BR>\n" );
document.write( "multiply both sides by 5<BR>\n" );
document.write( "n + 2 = 5(n - 14)<BR>\n" );
document.write( "n + 2 = 5n - 70<BR>\n" );
document.write( "2 + 70 = 5n - n<BR>\n" );
document.write( "72 = 4n<BR>\n" );
document.write( "n = 72/4<BR>\n" );
document.write( "n = 18<BR>\n" );
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document.write( "See if that works<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818+%2B+2%29%2F5 ALIGN=MIDDLE  ALT=\"%2818+%2B+2%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 18 - 14<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F5 ALIGN=MIDDLE  ALT=\"20%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4  </SPAN>\n" );
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