document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105493>Question 1105493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with rearranging an equation. Can you please show a step by step method of how to get to the value of x. Thank you.\r<BR>\n" );
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document.write( "1600= 192/(0.12-x)-600 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720320 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=720320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "Think of the fraction <font color=blue>192/(0.12-x)</font> as the variable <font color=blue>z</font>.\r<BR>\n" );
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document.write( "So we'll say <font color=blue>z = 192/(0.12-x)</font>\r<BR>\n" );
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document.write( "Allowing us to go from this<BR>\n" );
document.write( "1600 = <font color=blue>192/(0.12-x)</font> - 600<BR>\n" );
document.write( "to this<BR>\n" );
document.write( "1600 = <font color=blue>z</font> - 600\r<BR>\n" );
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document.write( "At this point, you hopefully agree that this new equation is much easier to deal with. The sub-goal here is to solve for z. To do so, we undo the subtraction done to z by adding. We add 600 to both sides\r<BR>\n" );
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document.write( "1600 = z - 600<BR>\n" );
document.write( "1600+600 = z - 60+600<BR>\n" );
document.write( "2200 = z<BR>\n" );
document.write( "z = 2200\r<BR>\n" );
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document.write( "We found the solution for z, but what we really want is the solution for x. So we need to get z back into terms of x. Replace z with the fraction written in blue above. So we'll replace z with 192/(0.12-x)\r<BR>\n" );
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document.write( "We go from this<BR>\n" );
document.write( "z = 2200<BR>\n" );
document.write( "to this<BR>\n" );
document.write( "192/(0.12-x) = 2200\r<BR>\n" );
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document.write( "Think of the 2200 on the right side as 2200/1. So we really have this equation<BR>\n" );
document.write( "192/(0.12-x) = 2200/1\r<BR>\n" );
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document.write( "Now we cross multiply<BR>\n" );
document.write( "192/(0.12-x) = 2200/1<BR>\n" );
document.write( "192*1 = 2200(0.12-x)<BR>\n" );
document.write( "192 = 2200(0.12-x)\r<BR>\n" );
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document.write( "Next we distribute the 2200 through to each term inside the parenthesis<BR>\n" );
document.write( "192 = 2200(0.12-x)<BR>\n" );
document.write( "192 = 2200(0.12)+2200(-x)<BR>\n" );
document.write( "192 = 264-2200x\r<BR>\n" );
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document.write( "From here, we treat this as any other linear equation to solve<BR>\n" );
document.write( "192 = 264-2200x<BR>\n" );
document.write( "264-2200x = 192<BR>\n" );
document.write( "-2200x+264 = 192<BR>\n" );
document.write( "-2200x+264-264 = 192-264 ... subtract 264 from both sides<BR>\n" );
document.write( "-2200x = -72<BR>\n" );
document.write( "-2200x/(-2200) = -72/(-2200) ... divide both sides by -2200<BR>\n" );
document.write( "x = 72/2200<BR>\n" );
document.write( "x = (8*9)/(8*275)<BR>\n" );
document.write( "<font color=red>x = 9/275 <<--- Exact Answer as a fraction</font><BR>\n" );
document.write( "<font color=red>x = 0.032727 <<--- Approximate Answer in decimal form</font>(accurate to 6 decimal places; the '27' repeats forever)\r<BR>\n" );
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document.write( "The answer format (either exact or approximate) will depend on what your teacher wants.<BR>\n" );
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