document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51605>Question 51605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the equation:<BR>\n" );
document.write( "2(x+5)-7=3(x-2)<BR>\n" );
document.write( "thanks a lot </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34411 by </B><A HREF=/tutors/aboutme.mpl?userid=rchill><B>rchill(405)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rchill><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=34411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using order of operations, we expand the equation to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B10-7=3x-6 ALIGN=MIDDLE  ALT=\"2x%2B10-7=3x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3=3x-6 ALIGN=MIDDLE  ALT=\"2x%2B3=3x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Adding 6 to both sides produces <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3%2B6=3x-6%2B6 ALIGN=MIDDLE  ALT=\"2x%2B3%2B6=3x-6%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B9=3x ALIGN=MIDDLE  ALT=\"2x%2B9=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B9-2x=3x-2x ALIGN=MIDDLE  ALT=\"2x%2B9-2x=3x-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=x ALIGN=MIDDLE  ALT=\"9=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  To check it, substitute 9 in for x in the original equation:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%289%2B5%29-7=3%289-2%29 ALIGN=MIDDLE  ALT=\"2%289%2B5%29-7=3%289-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A14-7=3%2A7 ALIGN=MIDDLE  ALT=\"2%2A14-7=3%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that further reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28-7=21 ALIGN=MIDDLE  ALT=\"28-7=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and finally <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21=21 ALIGN=MIDDLE  ALT=\"21=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is a true statement.  Because that is a true statement, that means our answer of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9 ALIGN=MIDDLE  ALT=\"x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > is correct. </SPAN>\n" );
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