document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562244>Question 562244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Im having a problem understanding how to slove a problem when the varible is next to 3 numbers: 5x+3=2x-(5-3x) i dont know what to do with the 5x or where to use the distributive property. \r<BR>\n" );
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document.write( "i have a problem with understanding where to use the distributive property and where i should cancell out numbers in this equation:2(3n+6)=3(12-2n) \r<BR>\n" );
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document.write( "thanks for the help:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364554 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x + 3 = 2x -(5-3x)<BR>\n" );
document.write( "the neg in front of the brackets means <BR>\n" );
document.write( "5x + 3 = 2x -1(5-3x)<BR>\n" );
document.write( "Distribute the -1 in front of the brackets means you multiply what's inside brackets by -1<BR>\n" );
document.write( "5x + 3 = 2x - 5 + 3x<BR>\n" );
document.write( "Collect like terms on the right<BR>\n" );
document.write( "5x + 3 = 2x + 3x - 5<BR>\n" );
document.write( "5x + 3 = 5x - 5<BR>\n" );
document.write( "subtract 3 from both sides:<BR>\n" );
document.write( "5x = 5x - 5 - 3<BR>\n" );
document.write( "5x = 5x - 8<BR>\n" );
document.write( "obviously this is not a valid equation, we can say x is undefined<BR>\n" );
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document.write( "2(3n+6) = 3(12-2n)<BR>\n" );
document.write( "Distribute the 2 and the 3, multiply what's inside the brackets<BR>\n" );
document.write( "6n + 12 = 36 - 6n<BR>\n" );
document.write( "Add 6n to both sides<BR>\n" );
document.write( "6n + 6n + 12 = 36<BR>\n" );
document.write( "subtract 12 from both sides, add the n's<BR>\n" );
document.write( "12n = 36 - 12<BR>\n" );
document.write( "12n = 24<BR>\n" );
document.write( "divide both sides by 12<BR>\n" );
document.write( "n = 24/12<BR>\n" );
document.write( "n = 2<BR>\n" );
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document.write( "Check this in the original problem<BR>\n" );
document.write( "2(3n+6) = 3(12-2n)<BR>\n" );
document.write( "replace n with 2<BR>\n" );
document.write( "2(3(2)+6) = 3(12-2(2))<BR>\n" );
document.write( "2(6+6) = 3(12-4)<BR>\n" );
document.write( "2(12) = 3(8)<BR>\n" );
document.write( "24 = 24, confirms our solution of n=2<BR>\n" );
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