document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119906>Question 119906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this 6-5(3x-3)=-54 I am just brain dead this morning and am not sure about this. I am coming up with no solution but would appreciate a second opinion. Thanks so much for your help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87878 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=87878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-5%283x-3%29=-54 ALIGN=MIDDLE  ALT=\"6-5%283x-3%29=-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "First do the distributed multiplication of -5 times each of the terms inside the parentheses.<BR>\n" );
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document.write( "When you multiply -5 times 3x you get -15x. And when you multiply -5 times -3 you get +15.<BR>\n" );
document.write( "Substituting these multiplications into the given problem converts it to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+-+15x+%2B+15+=+-54 ALIGN=MIDDLE  ALT=\"6+-+15x+%2B+15+=+-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the left side combine the constants +6 and +15 to get +21 which reduces the equation to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15x+%2B+21+=+-54 ALIGN=MIDDLE  ALT=\"-15x+%2B+21+=+-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Get rid of the +21 on the left side by adding -21 to both sides. (This is the same as<BR>\n" );
document.write( "subtracting 21 from both sides). When you do this addition, on the left side the  +21 and -21<BR>\n" );
document.write( "combine to cancel out. On the left side the -54 and -21 combine to -75. So the resulting<BR>\n" );
document.write( "equation is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15x+=+-75 ALIGN=MIDDLE  ALT=\"-15x+=+-75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can get rid of the minus signs by multiplying both sides of the equation by minus 1 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x+=+75 ALIGN=MIDDLE  ALT=\"15x+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finally, solve for x by dividing both sides of this equation by 15 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+75%2F15+=+5 ALIGN=MIDDLE  ALT=\"x+=+75%2F15+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now that you know that x = 5, you can check the problem by starting with:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-5%283x-3%29=-54 ALIGN=MIDDLE  ALT=\"6-5%283x-3%29=-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then substitute 5 for x to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-5%28%283%2A5%29-3%29=-54 ALIGN=MIDDLE  ALT=\"6-5%28%283%2A5%29-3%29=-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply the 3 times 5 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-5%2815-3%29=-54 ALIGN=MIDDLE  ALT=\"6-5%2815-3%29=-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Within the parentheses the 15 and -3 combine to 12:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-5%2812%29=-54 ALIGN=MIDDLE  ALT=\"6-5%2812%29=-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The -5 times 12 results in -60 and this reduces the equation to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-60=-54 ALIGN=MIDDLE  ALT=\"6-60=-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The left side terms combine to -54 so the equation further reduces to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-54+=+-54 ALIGN=MIDDLE  ALT=\"-54+=+-54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this, of course, is true. So our answer checks, and x = 5 is the answer.<BR>\n" );
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document.write( "Hope this helps cure you of your case of \"morning brain dead.\" Press on ...<BR>\n" );
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