document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057005>Question 1057005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6 is taken from a number x and the answer is doubled. The same result is found if the number x is divided by 2. Find x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672080 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=672080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"6 taken from a number x and the answer is doubled\" leads to the following expression:   2*(x - 6)\r<BR>\n" );
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document.write( "\"x divided by 2\" gives this expression:  x/2\r<BR>\n" );
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document.write( "Since the two expressions are supposed to be the same number, set them equal to each other:\r<BR>\n" );
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document.write( "2*(x - 6) = x/2\r<BR>\n" );
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document.write( "Multiplying both sides by 2 eliminates the denominator on the right:\r<BR>\n" );
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document.write( "    2*2*(x - 6) = x\r<BR>\n" );
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document.write( "    4(x - 6) = x\r<BR>\n" );
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document.write( "Expanding the left side by distributing the 4 gives:\r<BR>\n" );
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document.write( "4x - 24 = x\r<BR>\n" );
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document.write( "Adding 24 to both sides then gives:\r<BR>\n" );
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document.write( "4x = x + 24\r<BR>\n" );
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document.write( "Subtracting x from both sides then gives:\r<BR>\n" );
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document.write( "4x - x = 24\r<BR>\n" );
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document.write( "3x = 24\r<BR>\n" );
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document.write( "Finally, dividing both sides by 3 leaves:\r<BR>\n" );
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document.write( "<strong>x = 8 </strong>\r<BR>\n" );
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document.write( "As a check:\r<BR>\n" );
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document.write( "2(x - 6) = 2(8 - 6) = 2(2) = 4\r<BR>\n" );
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document.write( "x/2 = 8/2 = 4\r<BR>\n" );
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document.write( "Since both expressions give the same result, the answer checks out. </SPAN>\n" );
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