document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316855>Question 316855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how can i solve this equation 1/4(x-3)+5/6=7/12x+2/3<BR>\n" );
document.write( "this is what I have but is wrong. 1/4(x-3)+5/6=7/12x+2/3<BR>\n" );
document.write( "                                  3(3x-36)+10=7x+8<BR>\n" );
document.write( "                                  9x-108+10=7x+8<BR>\n" );
document.write( "                                  -7        -7<BR>\n" );
document.write( "                                  2x-108+10=8<BR>\n" );
document.write( "                                         -8 -8<BR>\n" );
document.write( "                                  2x=-106+2-108<BR>\n" );
document.write( "                                 2x/2=-106/2<BR>\n" );
document.write( "                                 x=-53\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226852 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It looks like your equation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F4%29%2A%28x-3%29%29%2B%285%2F6%29+=+%28%287%2F12%29%2Ax%29+%2B+%282%2F3%29 ALIGN=MIDDLE  ALT=\"%28%281%2F4%29%2A%28x-3%29%29%2B%285%2F6%29+=+%28%287%2F12%29%2Ax%29+%2B+%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides of this equation by 12 to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A%28%28%281%2F4%29%2A%28x-3%29%29%2B%285%2F6%29%29+=+12%2A%28%28%287%2F12%29%2Ax%29+%2B+%282%2F3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the distributive law of multiplication to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A%28%281%2F4%29%2A%28x-3%29%29%2B+12%2A%285%2F6%29+=+12%2A%287%2F12%29%2Ax+%2B+12%2A%282%2F3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify this to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%28x-3%29+%2B+10+=+7%2Ax+%2B+8 ALIGN=MIDDLE  ALT=\"3%2A%28x-3%29+%2B+10+=+7%2Ax+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the distributive law of multiplication again to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ax+-+9+%2B+10+=+7%2Ax+%2B+8 ALIGN=MIDDLE  ALT=\"3%2Ax+-+9+%2B+10+=+7%2Ax+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify this by combining like terms to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ax+%2B+1+=+7x+%2B+8 ALIGN=MIDDLE  ALT=\"3%2Ax+%2B+1+=+7x+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 3*x from both sides of this equation and subtract 8 from both sides of this equation to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7+=+4%2Ax ALIGN=MIDDLE  ALT=\"-7+=+4%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ax+=+-7 ALIGN=MIDDLE  ALT=\"4%2Ax+=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides of this equation by 4 to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-7%2F4 ALIGN=MIDDLE  ALT=\"x+=+-7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If the answer is correct, you should be able to substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F4 ALIGN=MIDDLE  ALT=\"-7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > for x in the original equation and confirm that the equation is true.\r<BR>\n" );
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document.write( "The original equation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F4%29%2A%28x-3%29%29%2B5%2F6+=+%28%287%2F12%29%2Ax%29+%2B+2%2F3 ALIGN=MIDDLE  ALT=\"%28%281%2F4%29%2A%28x-3%29%29%2B5%2F6+=+%28%287%2F12%29%2Ax%29+%2B+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When x = (-7/4), this equation becomes:\r<BR>\n" );
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document.write( "I used my calculator to solve and I got:\r<BR>\n" );
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document.write( "-.354166667 = -.354166667 which confirms that that value of x = -7/4 is good.\r<BR>\n" );
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