document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=621559>Question 621559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have tried this so many times..... <BR>\n" );
document.write( "3x+9<4(x-5)-x+3+2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #390813 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "Solve for x. It looks messy, but we'll go through it step by step.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B9%3C4%28x-5%29-x%2B3%2B2x ALIGN=MIDDLE  ALT=\"3x%2B9%3C4%28x-5%29-x%2B3%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Clear the parentheses on the right side of the inequality.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B9%3C4x-20-x%2B3%2B2x ALIGN=MIDDLE  ALT=\"3x%2B9%3C4x-20-x%2B3%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Start on the right and begin by combining x-terms, 4x-x+2x is 5x.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B9%3C5x-17 ALIGN=MIDDLE  ALT=\"3x%2B9%3C5x-17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We want all the x-terms on the left so we subtract 5x from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-5x%2B9%3C5x-5x-17 ALIGN=MIDDLE  ALT=\"3x-5x%2B9%3C5x-5x-17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Combine the x-terms again, 3x-5x is -2x, and 5x-5x=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B9%3C-17 ALIGN=MIDDLE  ALT=\"-2x%2B9%3C-17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We want all the constant terms on the right side of the inequality, so we subtract 9 from both sides of the equation.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B9-9%3C-17-9 ALIGN=MIDDLE  ALT=\"-2x%2B9-9%3C-17-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify both sides of the inequality, 9-9 is 0 and -17-9 is -26.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%3C-26 ALIGN=MIDDLE  ALT=\"-2x%3C-26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We want x by itself on the left side of the inequality, so we divide both sides by -2. IMPORTANT NOTE: when you divide both sides of an inequality by a negative number, the direction of the inequality will change (\"less than\" becomes \"greater than.\")<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2x%29%2F%28-2%29%3E%28-26%29%2F%28-2%29 ALIGN=MIDDLE  ALT=\"%28-2x%29%2F%28-2%29%3E%28-26%29%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify one last time. -2x/-2 is just x, and -26/-2 is 13.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E13 ALIGN=MIDDLE  ALT=\"x%3E13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A good way to check your work (always a good idea) is to substitute 13 for x in the original inequality. If your answer is correct, both sides will simplify to the same value. <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B9%3C4%28x-5%29-x%2B3%2B2x ALIGN=MIDDLE  ALT=\"3x%2B9%3C4%28x-5%29-x%2B3%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2813%29%2B9%3C4%28%2813%29-5%29-%2813%29%2B3%2B2%2813%29 ALIGN=MIDDLE  ALT=\"3%2813%29%2B9%3C4%28%2813%29-5%29-%2813%29%2B3%2B2%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2B9%3C52-20-13%2B3%2B26 ALIGN=MIDDLE  ALT=\"39%2B9%3C52-20-13%2B3%2B26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the left side, we have 39+9=48. On the right side, we have 52-20-13+3+26=48. Good.<BR>\n" );
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document.write( "We also want to check that we got the inequality sign in the right direction. All our algebra shows that x>13. Choose any value for x that is greater than 13, say 15. Substitute 15 in the original equation. When you simplify, you should get a true statement.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2815%29%2B9%3C4%28%2815%29-5%29-%2815%29%2B3%2B2%2815%29 ALIGN=MIDDLE  ALT=\"3%2815%29%2B9%3C4%28%2815%29-5%29-%2815%29%2B3%2B2%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2B9%3C60-20-15%2B3%2B30 ALIGN=MIDDLE  ALT=\"45%2B9%3C60-20-15%2B3%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%3C58 ALIGN=MIDDLE  ALT=\"54%3C58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is true, so we know that we have the inequality sign in the correct direction. The solution to this rather long, messy inequality is x>13.<BR>\n" );
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document.write( "Hope this helps! This was a long explanation. Please do email me if there is any part that does not make sense yet.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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