document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148886>Question 148886</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780978843502/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> My apologies if I did not type this correctly. I am not a maths student so am unfamiliar with the correct \"style\". To be clear x -6 / 4 is the denominator of the whole fraction x + 2 is the numerator. \r<BR>\n" );
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document.write( " x+2<BR>\n" );
document.write( "------ = 3<BR>\n" );
document.write( " x-6<BR>\n" );
document.write( "-----<BR>\n" );
document.write( " 4<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "x+2 = 3(x-6)<BR>\n" );
document.write( "       -----<BR>\n" );
document.write( "         4\r<BR>\n" );
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document.write( "x + 2 = 3x/4 - 9/2\r<BR>\n" );
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document.write( "x/4 = 13/2\r<BR>\n" );
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document.write( "x = -26\r<BR>\n" );
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document.write( "The answer is from the back of the book but I fail to understand how to get from <BR>\n" );
document.write( "x + 2 = 3x/4 - 9/2<BR>\n" );
document.write( "to<BR>\n" );
document.write( "x/4 = 13/2<BR>\n" );
document.write( "I need to understand the rule that governs this?\r<BR>\n" );
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document.write( "regards,\r<BR>\n" );
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document.write( "Tres. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109212 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi Tres,<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Starting with:<BR>\n" );
document.write( "[x+2]/[(x-6)/4] = 3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "To remove the 4 from the denominator, we multiply the fraction on the left by 4/4 to get:<BR>\n" );
document.write( "[4(x+2)]/[x-6] = 3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, to get rid of the (x-6) from the denominator, we multiply both sides by (x-6) to get:<BR>\n" );
document.write( "4(x+2) = 3(x-6)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, we expand to get:<BR>\n" );
document.write( "4x+8 = 3x-18<BR>\n" );
document.write( ".<BR>\n" );
document.write( "subtracting 3x from both sides we get:<BR>\n" );
document.write( "x+8 = -18<BR>\n" );
document.write( ".<BR>\n" );
document.write( "finally we subtract 8 from both sides:<BR>\n" );
document.write( "x = -26<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If you can't follow the above, please write back,<BR>\n" );
document.write( "Bill </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );