document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=708496>Question 708496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show me how to do this problem please<BR>\n" );
document.write( "The sum of six times a number and 1 is equal to five times the number. 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 #436135 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=436135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve this word problem, we need to convert it into an equation.  Let's first dissect the problem:\r<BR>\n" );
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document.write( "\"The sum of six times a number and 1\" -- since \"sum\" means addition, and \"6 times\" means 6 multiplied by some number, we can write this as:  6x + 1, where x stands for the unknown number\r<BR>\n" );
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document.write( "\"is equal to five times the number\" -- since \"equals\" means \"=\" and five times the number means 5x, where x stands for that same unknown number, we can write as: = 5x\r<BR>\n" );
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document.write( "Put it all together and we have\r<BR>\n" );
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document.write( "6x + 1 = 5x\r<BR>\n" );
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document.write( "Now we can solve our equation.  \r<BR>\n" );
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document.write( "First, we need to get all of the like terms on each side of the equal sign.  To do this, we will first subtract 1 from both sides:\r<BR>\n" );
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document.write( "6x + 1 - 1 = 5x - 1, which gives us 6x = 5x - 1\r<BR>\n" );
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document.write( "Next, we will subtract 5x from both sides:\r<BR>\n" );
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document.write( "6x - 5x = 5x - 5x - 1, giving us x = -1\r<BR>\n" );
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document.write( "-1 is the number\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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