document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=282943>Question 282943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8  Solve for x:  ( 4x – 6)/2  = -3x + 2 <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 #205411 by </B><A HREF=/tutors/aboutme.mpl?userid=Monkibat><B>Monkibat(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Monkibat><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=205411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-6%29%2F2=-3x%2B2 ALIGN=MIDDLE  ALT=\"%284x-6%29%2F2=-3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Fist we have to get rid of the fraction by multiplying both sides by 2.  When you multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-6%29%2F2 ALIGN=MIDDLE  ALT=\"%284x-6%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > by 2 the 2’s cancel, leaving you with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-6 ALIGN=MIDDLE  ALT=\"4x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  What you do to one side you have to do to the other.  When you multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B2 ALIGN=MIDDLE  ALT=\"-3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > by 2 you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%2B4 ALIGN=MIDDLE  ALT=\"-6x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-6=-6x%2B4 ALIGN=MIDDLE  ALT=\"4x-6=-6x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Add 6x to both sides to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-6=4 ALIGN=MIDDLE  ALT=\"10x-6=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now add 6 to both sides to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x=10 ALIGN=MIDDLE  ALT=\"10x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now we have to get x by itself by dividing both sides by 10 to solve for x. 10 divided by 10 is 1.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Now we have to check our answer by plugging in 1 for x into the original equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-6%29%2F2=-3x%2B2 ALIGN=MIDDLE  ALT=\"%284x-6%29%2F2=-3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%281%29-6%29%2F2=-3%281%29%2B2 ALIGN=MIDDLE  ALT=\"%284%281%29-6%29%2F2=-3%281%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-6%29%2F2=-3%2B2 ALIGN=MIDDLE  ALT=\"%284-6%29%2F2=-3%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F2=-1 ALIGN=MIDDLE  ALT=\"-2%2F2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=-1 ALIGN=MIDDLE  ALT=\"-1=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The answer is correct, x=1.<BR>\n" );
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