document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=662785>Question 662785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i solve?<BR>\n" );
document.write( "The product of 5 and 2 less than triple a number equals the product of 7 and 8 more than twice the number.  What is the number?<BR>\n" );
document.write( "I did this:\r<BR>\n" );
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document.write( "5(2)-3n=7(8)+2n<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #412477 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=412477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You did a no-no.<BR>\n" );
document.write( "The first expression should be<BR>\n" );
document.write( "(1) 5*(3*n - 2)<BR>\n" );
document.write( "The second should be<BR>\n" );
document.write( "(2) 7*(8 + 2*n)<BR>\n" );
document.write( "See the difference and why?<BR>\n" );
document.write( "In the first you have the product of 5 AND (something) or 5 times (something), that (something) is \"2 less than 3 times n\" or (3*n - 3), giving you<BR>\n" );
document.write( "(1) 5*(3*n - 2)<BR>\n" );
document.write( "The same applies to the second expression - 7 times \"something\", which is now (2*n + 8), giving you (2). <BR>\n" );
document.write( "The expressions (1) and (2) are equal so we get<BR>\n" );
document.write( "(3) 5*(3*n-2) = 7*(2*n+8)<BR>\n" );
document.write( "Multiplying (3) out you get<BR>\n" );
document.write( "(4) 15*n - 10 = 14*n + 56<BR>\n" );
document.write( "Simplify (4) to get<BR>\n" );
document.write( "(5) n = 66<BR>\n" );
document.write( "Is this correct? Let's check with (3)<BR>\n" );
document.write( "Is (5*(3*66-2) = 7*(2*66+8))?<BR>\n" );
document.write( "Is (5*(198-2) = 7*(132+8))?<BR>\n" );
document.write( "Is (5*196 = 7*140)?<BR>\n" );
document.write( "Is (980 = 980)? Yes<BR>\n" );
document.write( "Answer: the number is 66. </SPAN>\n" );
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