document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186822>Question 186822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This equation is not from a textbook, it's directly from my professor.  I'm having difficulties trying to remember how to solve for 'x' in the following situation:\r<BR>\n" );
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document.write( "($80 + ($1,000 - X) / 12) / (($1,000 + X) / 2) = 0.07\r<BR>\n" );
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document.write( "If I divide by the denominator, I end up with Xs on both sides of the equation.  Please help!  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 #140038 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=140038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2880+%2B+%281000+-+x%29+%2F+12%29+%2F+%28%281000+%2B+x%29+%2F+2%29+=+0.07 ALIGN=MIDDLE  ALT=\"%2880+%2B+%281000+-+x%29+%2F+12%29+%2F+%28%281000+%2B+x%29+%2F+2%29+=+0.07\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "Take note that the LCD of the inner fractions is 12.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2880%29+%2B+cross%2812%29%281000+-+x%29+%2F+cross%2812%29%29+%2F+%28cross%2812%29%5E6%28%281000+%2B+x%29+%2F+cross%282%29%29%29+=+0.07 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term (that's either part of a fraction or by itself) by the LCD 12 to clear the inner fractions. \r<BR>\n" );
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document.write( "Note: because we're multiplying every term on the left side by the same number, it's like we're multiplying the left side by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F12 ALIGN=MIDDLE  ALT=\"12%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is simply 1. So the equation has NOT changed.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2880%29+%2B+1000+-+x%29%2F%286%281000+%2B+x%29%29=0.07 ALIGN=MIDDLE  ALT=\"%2812%2880%29+%2B+1000+-+x%29%2F%286%281000+%2B+x%29%29=0.07\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28960+%2B+1000+-+x%29%2F%286%281000+%2B+x%29%29=0.07 ALIGN=MIDDLE  ALT=\"%28960+%2B+1000+-+x%29%2F%286%281000+%2B+x%29%29=0.07\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281960+-+x%29%2F%286%281000+%2B+x%29%29=0.07 ALIGN=MIDDLE  ALT=\"%281960+-+x%29%2F%286%281000+%2B+x%29%29=0.07\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281960+-+x%29%2F%286000+%2B+6x%29=0.07 ALIGN=MIDDLE  ALT=\"%281960+-+x%29%2F%286000+%2B+6x%29=0.07\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1960+-+x=0.07%286000+%2B+6x%29 ALIGN=MIDDLE  ALT=\"1960+-+x=0.07%286000+%2B+6x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000+%2B+6x ALIGN=MIDDLE  ALT=\"6000+%2B+6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1960+-+x=0.07%286000%29+%2B+0.07%286x%29 ALIGN=MIDDLE  ALT=\"1960+-+x=0.07%286000%29+%2B+0.07%286x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1960+-+x=420+%2B+0.42x ALIGN=MIDDLE  ALT=\"1960+-+x=420+%2B+0.42x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%281960-x%29=100%28420%2B0.42x%29 ALIGN=MIDDLE  ALT=\"100%281960-x%29=100%28420%2B0.42x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 100 to clear out the decimals.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=196000-100x=42000%2B42x ALIGN=MIDDLE  ALT=\"196000-100x=42000%2B42x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-100x=42000%2B42x-196000 ALIGN=MIDDLE  ALT=\"-100x=42000%2B42x-196000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=196000 ALIGN=MIDDLE  ALT=\"196000\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-100x-42x=42000-196000 ALIGN=MIDDLE  ALT=\"-100x-42x=42000-196000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42x ALIGN=MIDDLE  ALT=\"42x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-142x=42000-196000 ALIGN=MIDDLE  ALT=\"-142x=42000-196000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-142x=-154000 ALIGN=MIDDLE  ALT=\"-142x=-154000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-154000%29%2F%28-142%29 ALIGN=MIDDLE  ALT=\"x=%28-154000%29%2F%28-142%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-142 ALIGN=MIDDLE  ALT=\"-142\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=77000%2F71 ALIGN=MIDDLE  ALT=\"x=77000%2F71\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=77000%2F71 ALIGN=MIDDLE  ALT=\"x=77000%2F71\"   DISABLED_style= \"max-width:90%; height:auto;\" > which approximates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1084.507 ALIGN=MIDDLE  ALT=\"x=1084.507\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Note: since this problem looks like it deals with money, I would go with the approximated solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1084.507 ALIGN=MIDDLE  ALT=\"x=1084.507\"   DISABLED_style= \"max-width:90%; height:auto;\" > and round it to two places to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1084.51 ALIGN=MIDDLE  ALT=\"x=1084.51\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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