document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29144>Question 29144</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Solve for x:  (x - 4)/2 - 1/5 = (7x + 1)/20\r<BR>\n" );
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document.write( "Combine like terms: 3x - 6x^2 + 2 - 4x^2 + 7x - 1 - 8 - 3x^2\r<BR>\n" );
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document.write( "Name the property of rreal numbers illustrated below:<BR>\n" );
document.write( "4 + (7 + 1) = (4 + 7) + 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15977 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=15977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)Solve for x: (x - 4)/2 - 1/5 = (7x + 1)/20 <BR>\n" );
document.write( "(x - 4)/2 - 1/5 = (7x + 1)/20 <BR>\n" );
document.write( "Multiplying by 20 which is the lcm of 2,5 and 20<BR>\n" );
document.write( "10(x-4)-4X(1)=(7x+1)<BR>\n" );
document.write( "10x-40-4=7x+1<BR>\n" );
document.write( "10x-44=7x+1<BR>\n" );
document.write( "10x-7x=1+44 (grouping like terms, here side changed  and hence sign changed)<BR>\n" );
document.write( "3x=45<BR>\n" );
document.write( "x=45/3=15<BR>\n" );
document.write( "Verification: putting x=15 in the given equation,we get LHS = (55-2)/10 = 53/10<BR>\n" );
document.write( "and RHS = (7X15+1)/20 = (105+1)/20 = 106/20 = 53/6\r<BR>\n" );
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document.write( "2)Combine like terms: 3x - 6x^2 + 2 - 4x^2 + 7x - 1 - 8 - 3x^23x - 6x^2 + 2 - 4x^2 + 7x - 1 - 8 - 3x^2<BR>\n" );
document.write( "=(-6x^2-4x^2-3x^2)+(3x+7x)+(2-1-8)   (three +two+three terms = 8 terms in all)<BR>\n" );
document.write( "=(-6-4-3)X^2+(3+7)x+(2-9)<BR>\n" );
document.write( "=-13x^2+10x-7<BR>\n" );
document.write( "[Can we pluck any term from anywhere in the given expression and place it near any other term we wish ?<BR>\n" );
document.write( "YES. That is the advantage of additive commutativity and additive associativity.. By commutativity applied repeatedly we bring two terms of like powers of x to gether.<BR>\n" );
document.write( "You may visualise friends visiting a cinema hall seated in a row  and doing this act of slowly moving place two friends in action at a time swapping the immediate places and this act done repeatedly will fetch the desired result of a friend getting seated next to a desired friend.]\r<BR>\n" );
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document.write( "3)Name the property of rreal numbers illustrated below:<BR>\n" );
document.write( "4 + (7 + 1) = (4 + 7) + 1<BR>\n" );
document.write( "This property: A+(B+C) = (A+B) +C <BR>\n" );
document.write( "is called the Associativity property with respect to addition <BR>\n" );
document.write( "and it holds good in the set of real number </SPAN>\n" );
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