document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114595>Question 1114595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation to represent the verbal statement then solve the problem.<BR>\n" );
document.write( "1.  Two-Thirds of a number reduced by 11 is equal to 7 more than the same 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 #729529 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=729529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = the number.\r<BR>\n" );
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document.write( "Two-Thirds of a number reduced by 11 is equal to 7 more than the same number.\r<BR>\n" );
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document.write( "this could lead to the following equation, if i understand it correctly.\r<BR>\n" );
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document.write( "2/3 * x - 11 = x + 7\r<BR>\n" );
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document.write( "subtract x from both sides of this equation and add 11 to both sides of this equation to get:\r<BR>\n" );
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document.write( "2/3 * x - x = 18\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "-1/3 * x = 18\r<BR>\n" );
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document.write( "multiply both sides of this equation by -3 to get:\r<BR>\n" );
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document.write( "x = -54.\r<BR>\n" );
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document.write( "when x = -54:\r<BR>\n" );
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document.write( "2/3 * x - 11 = x + 7 becomes 2/3 * -54 - 11 = -43 + 7 which becomes -36 - 11 = -47 which becomes -47 = -47.\r<BR>\n" );
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document.write( "the solution is confirmed as good.\r<BR>\n" );
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document.write( "the solution is that x = -54.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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