document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92406>Question 92406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> could you please help me with this:<BR>\n" );
document.write( "  6/x+3 - 3/x+6 = 4/x+3\r<BR>\n" );
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document.write( "Could you show me the steps as well as your answer please?<BR>\n" );
document.write( "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 #67259 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=67259\">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=6%2F%28x%2B3%29+-+3%2F%28x%2B6%29+=+4%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"6%2F%28x%2B3%29+-+3%2F%28x%2B6%29+=+4%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%28x%2B6%29%286%2F%28x%2B3%29+-+3%2F%28x%2B6%29%29+=%28x%2B3%29%28x%2B6%29%284%2F%28x%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the LCD\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28x%2B6%29+-+3%28x%2B3%29+=4%28x%2B6%29 ALIGN=MIDDLE  ALT=\"6%28x%2B6%29+-+3%28x%2B3%29+=4%28x%2B6%29\"   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=6x%2B36-3x-9=4x%2B24 ALIGN=MIDDLE  ALT=\"6x%2B36-3x-9=4x%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute again\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B36-9=4x%2B24 ALIGN=MIDDLE  ALT=\"3x%2B36-9=4x%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Combine the variable terms 6x and  -3x  on the left side to get 3x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B27=4x%2B24 ALIGN=MIDDLE  ALT=\"3x%2B27=4x%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Combine the constant terms 36 and  -9  on the left side to get 27\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=4x%2B24-27 ALIGN=MIDDLE  ALT=\"3x=4x%2B24-27\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 27 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-4x=24-27 ALIGN=MIDDLE  ALT=\"3x-4x=24-27\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4x from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+x=24-27 ALIGN=MIDDLE  ALT=\"-1+x=24-27\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+x ALIGN=MIDDLE  ALT=\"3+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4+x ALIGN=MIDDLE  ALT=\"-4+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the left side to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+x ALIGN=MIDDLE  ALT=\"-1+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=-1+x=-3 ALIGN=MIDDLE  ALT=\"-1+x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms -27 and 24 on the left side to get -3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-3%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"x=%28-3%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide both sides by  -1 to isolate and solve for x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+3 ALIGN=MIDDLE  ALT=\"x=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So our answer is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+3 ALIGN=MIDDLE  ALT=\"x=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x%2B3%29+-+3%2F%28x%2B6%29+=+4%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"6%2F%28x%2B3%29+-+3%2F%28x%2B6%29+=+4%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%283%2B3%29+-+3%2F%283%2B6%29+=+4%2F%283%2B3%29 ALIGN=MIDDLE  ALT=\"6%2F%283%2B3%29+-+3%2F%283%2B6%29+=+4%2F%283%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > plug in the answer x=3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F6+-+3%2F9+=+4%2F6 ALIGN=MIDDLE  ALT=\"6%2F6+-+3%2F9+=+4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F3%29%286%2F6%29+-+%282%2F2%29%283%2F9%29+=+4%2F6 ALIGN=MIDDLE  ALT=\"%283%2F3%29%286%2F6%29+-+%282%2F2%29%283%2F9%29+=+4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both fractions by a form of 1 to make both denominators equal\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F18+-+6%2F18+=+4%2F6 ALIGN=MIDDLE  ALT=\"18%2F18+-+6%2F18+=+4%2F6\"   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=12%2F18+=+4%2F6 ALIGN=MIDDLE  ALT=\"12%2F18+=+4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3+=+2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce both sides. So our answer is verified </SPAN>\n" );
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