document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999565>Question 999565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please explain the following steps for solving the equation. I understand how to write it but need the steps for solving it.<BR>\n" );
document.write( "One half of a number is 14 more than 2 times the number. Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617170 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=617170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One half of a number is 14 more than 2 times the number.\r<BR>\n" );
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document.write( "let x = the number.\r<BR>\n" );
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document.write( "1/2 * x = 2*x + 14\r<BR>\n" );
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document.write( "subtract 2 * x from both sides of this eqaution to get:\r<BR>\n" );
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document.write( "1/2 * x - 2 * x = 14\r<BR>\n" );
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document.write( "2 * x is the same as 4/2 * x.\r<BR>\n" );
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document.write( "your equation can be written as 1/2 * x - 4/2 * x = 14\r<BR>\n" );
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document.write( "since 1/2 * x - 4/2 * x is equal to -3/2 * x, your equation becomes -3/2 * x = 14.\r<BR>\n" );
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document.write( "multiply both sides of this equation by -2/3 to get:\r<BR>\n" );
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document.write( "-2/3 * -3/2 * x = -2/3 * 14\r<BR>\n" );
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document.write( "since -2/3 * -3/2 = 1, your equation becomes:\r<BR>\n" );
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document.write( "x = -2/3 * 14\r<BR>\n" );
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document.write( "since -2/3 * 14 = -28/3, your equation becomes x = -28/3\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "when x = -28/3, one half of a number is 14 more than 2 times the number becomes:\r<BR>\n" );
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document.write( "1/2 * (-28/3) = 2 * (-28/3) + 14\r<BR>\n" );
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document.write( "since 14 is the same as 42/3, this equation can be written as:\r<BR>\n" );
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document.write( "1/2 * (-28/3) = 2 * (-28/3) + (42/3)\r<BR>\n" );
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document.write( "this results in -14/3 = -56/3 + 42/3, which results in -14/3 = -14/3.\r<BR>\n" );
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document.write( "you get -14/3 = -14/3.\r<BR>\n" );
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document.write( "this confirms the solution is correct.\r<BR>\n" );
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document.write( "the solution is that x = -28/3.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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