document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647938>Question 647938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/3x - 4=2x -1/7x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406482 by </B><A HREF=/tutors/aboutme.mpl?userid=Algebraic><B>Algebraic(50)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Algebraic><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=Algebraic><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=406482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Original equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F3%29+-+4+=+2x+-+%28x%2F7%29 ALIGN=MIDDLE  ALT=\"%28x%2F3%29+-+4+=+2x+-+%28x%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 1: Put all of the factors under '1',and find an LCD\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F3%29+-+%284%2F1%29+=+%282x%2F1%29+-+%28x%2F7%29 ALIGN=MIDDLE  ALT=\"%28x%2F3%29+-+%284%2F1%29+=+%282x%2F1%29+-+%28x%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We're going to need to find a common LCD (least common denominator) in order to be able to subtract the fractions. The number that both factors go into is '7', so multiply '7' to the numerator and denominator of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2F1%29 ALIGN=MIDDLE  ALT=\"%282x%2F1%29\"   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=%28x%2F3%29+-+%284%2F1%29+=+%282x%2F1%29%287%2F7%29+-+%28x%2F7%29 ALIGN=MIDDLE  ALT=\"%28x%2F3%29+-+%284%2F1%29+=+%282x%2F1%29%287%2F7%29+-+%28x%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You'll get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F3%29+-+%284%2F1%29+=+%2814x%2F7%29+-+%28x%2F7%29 ALIGN=MIDDLE  ALT=\"%28x%2F3%29+-+%284%2F1%29+=+%2814x%2F7%29+-+%28x%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2: Combine like terms on the right side of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F3%29+-+%284%2F1%29+=+%2813x%2F7%29 ALIGN=MIDDLE  ALT=\"%28x%2F3%29+-+%284%2F1%29+=+%2813x%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3: Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F3%29 ALIGN=MIDDLE  ALT=\"%28x%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides in order to avoid having to deal with negatives\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F3%29+-+%284%2F1%29+=+%2813x%2F7%29 ALIGN=MIDDLE  ALT=\"%28x%2F3%29+-+%284%2F1%29+=+%2813x%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284%2F1%29+=+%2813x%2F7%29-%28x%2F3%29 ALIGN=MIDDLE  ALT=\"-%284%2F1%29+=+%2813x%2F7%29-%28x%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4: Find a new LCD... in this case it is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%29%283%29 ALIGN=MIDDLE  ALT=\"%287%29%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the new LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21 ALIGN=MIDDLE  ALT=\"21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both the numerator and denominator of both equations by factors that will make them equal 21\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284%2F1%29+=+%2813x%2F7%29%283%2F3%29-%28x%2F3%29%287%2F7%29 ALIGN=MIDDLE  ALT=\"-%284%2F1%29+=+%2813x%2F7%29%283%2F3%29-%28x%2F3%29%287%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5: Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284%2F1%29+=+%2813x%2F7%29%283%2F3%29-%28x%2F3%29%287%2F7%29 ALIGN=MIDDLE  ALT=\"-%284%2F1%29+=+%2813x%2F7%29%283%2F3%29-%28x%2F3%29%287%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284%2F1%29+=+%2839x%2F21%29-%287x%2F21%29 ALIGN=MIDDLE  ALT=\"-%284%2F1%29+=+%2839x%2F21%29-%287x%2F21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284%2F1%29+=+%2832x%2F21%29 ALIGN=MIDDLE  ALT=\"-%284%2F1%29+=+%2832x%2F21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6: Multiply the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2832x%2F21%29 ALIGN=MIDDLE  ALT=\"%2832x%2F21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by its inverse(opposite) in order to cancel it out and get the 'x' by itself\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284%2F1%29+=+%2832x%2F21%29 ALIGN=MIDDLE  ALT=\"-%284%2F1%29+=+%2832x%2F21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284%2F1%29%2821%2F32%29+=+%2832x%2F21%29%2821%2F32%29 ALIGN=MIDDLE  ALT=\"-%284%2F1%29%2821%2F32%29+=+%2832x%2F21%29%2821%2F32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-84%2F32%29+=+x ALIGN=MIDDLE  ALT=\"%28-84%2F32%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7: Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-84%2F32%29+=+x ALIGN=MIDDLE  ALT=\"%28-84%2F32%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-21%2F8%29+=+x ALIGN=MIDDLE  ALT=\"%28-21%2F8%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-21%2F8%29+=+x ALIGN=MIDDLE  ALT=\"%28-21%2F8%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-21%2F8%29 ALIGN=MIDDLE  ALT=\"x+=+%28-21%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );