document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=418461>Question 418461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> twelve divided by the sum of a number and 2 equals the quotient of 4 and the difference of the number and 2. Find the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292818 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"twelve divided by the sum of a number and 2 equals the quotient of 4 and the difference of the number and 2. Find the number?\"\r<BR>\n" );
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document.write( "x = the number\r<BR>\n" );
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document.write( "12/(x + 2) = 4/(x - 2)<BR>\n" );
document.write( "12(x - 2) = 4(x + 2) {cross-multiplied, since it was a proportion}<BR>\n" );
document.write( "12x - 24 = 4x + 8 {used distributive property}<BR>\n" );
document.write( "12x = 4x + 32 {added 24 to both sides}<BR>\n" );
document.write( "8x = 32 {subtracted 4x from both sides}<BR>\n" );
document.write( "x = 4 {divided both sides by 8}\r<BR>\n" );
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document.write( "the number is 4<BR>\n" );
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