document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=337178>Question 337178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've been trying to simplify the following expression and keep missing a step while doing so.  Can you please assist me?  Thank you!\r<BR>\n" );
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document.write( "1/2(3x + 2)- 1/4(3x - 2)=\r<BR>\n" );
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document.write( "[{{(1/2)*3x} + {(1/2)*(2/1)}} + {-1{{(1/4)*3x}-{(1/4)*2}}}]=\r<BR>\n" );
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document.write( "[{(3x/2)+(2/2)}  +  {-1{(3x/4)-(2/4)}}]=\r<BR>\n" );
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document.write( "[{(3x/2+1)}  +  {-1*(3x/4)}-{(-1)*(1/2)}}]=\r<BR>\n" );
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document.write( "[(3x/2+1)}  +  {{(-1)*(3x/4)}-{(-1)*(1/2)}]=\r<BR>\n" );
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document.write( "[{3x/2 + 1} + {-3x/4 + 1/2}]=\r<BR>\n" );
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document.write( "[{3x/2 + 1} + {-3x/4 +1/2}]=\r<BR>\n" );
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document.write( "[3x/2 +1 -3x/4 +1/2]=\r<BR>\n" );
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document.write( "3x/2 -3x/4 + 1+ (1/2)=\r<BR>\n" );
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document.write( "2/2*3x/2 - 3x/4 +1 1/2 =\r<BR>\n" );
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document.write( "(6x/4-3x/4) + 1.5 =\r<BR>\n" );
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document.write( "3x/4 +1.5 \r<BR>\n" );
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document.write( "or 3/4x + 1.5<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 #241736 by </B><A HREF=/tutors/aboutme.mpl?userid=chiexpert><B>chiexpert(48)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chiexpert><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=241736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/2(3x + 2)- 1/4(3x - 2)=\r<BR>\n" );
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document.write( "[{{(1/2)*3x} + {(1/2)*(2/1)}} + {-1{{(1/4)*3x}-{(1/4)*2}}}]= expand the equation\r<BR>\n" );
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document.write( "remember that subtracting a whole equation is same thing as adding a negative one in each when expanding.  keep the subtract sign or negative consistant thruout the equations\r<BR>\n" );
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document.write( "[{(3x/2)+(2/2)}  +  {-1{(3x/4)-(2/4)}}]=  same things here. now multiply out the fractions.   keeps all sign consistent\r<BR>\n" );
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document.write( "[{(3x/2+1)}  +  {-1*(3x/4)}-{(-1)*(1/2)}}]=now the negative one is multiply out\r<BR>\n" );
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document.write( "[(3x/2+1)}  +  {{(-1)*(3x/4)}-{(-1)*(1/2)}]= <BR>\n" );
document.write( "[{3x/2 + 1} + {-3x/4 + 1/2}]=\r<BR>\n" );
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document.write( "[{3x/2 + 1} + {-3x/4 +1/2}]=simplify\r<BR>\n" );
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document.write( "[3x/2 +1 -3x/4 +1/2]=now consolidate like equations\r<BR>\n" );
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document.write( "3x/2 -3x/4 + 1+ (1/2)=\r<BR>\n" );
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document.write( "2/2*3x/2 - 3x/4 +1 + 1/2 =simply further\r<BR>\n" );
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document.write( "(6x/4-3x/4) + 1.5 =\r<BR>\n" );
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document.write( "3x/4 +1 1/2 or 3/4x + 1.5\r<BR>\n" );
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