document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208225>Question 208225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this algebra question?\r<BR>\n" );
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document.write( "Solve for x\r<BR>\n" );
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document.write( "12(x-4)-(x+2)=(x+2)(x-4) \r<BR>\n" );
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document.write( "Thanks for any help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157524 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=157524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12(x-4)-(x+2)=(x+2)(x-4) <BR>\n" );
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document.write( "multiplying this out you get:<BR>\n" );
document.write( "12x - 48 - x - 2 = x^2 -2x - 8<BR>\n" );
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document.write( "combining like terms you get:<BR>\n" );
document.write( "11x - 50 = x^2 -2x - 8<BR>\n" );
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document.write( "subtract 11x and add 50 to both sides of this equation to get:<BR>\n" );
document.write( "0 = x^2 -2x - 8 + 50 - 11x which is the same as:<BR>\n" );
document.write( "x^2 -2x - 8 + 50 - 11x = 0<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "x^2 - 13x + 42 = 0<BR>\n" );
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document.write( "since 7+6 = 13 and 7*6 = 42, you have some factors that you can use.<BR>\n" );
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document.write( "x^2 - 13x + 42 = 0 is the same as (x-6)*(x-7) = 0 after you factor it out.<BR>\n" );
document.write( "your answer is:<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x = 7<BR>\n" );
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document.write( "to prove these numbers are correct, go back to the original equation and replace x with these values to see if the equations are true.<BR>\n" );
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document.write( "let x = 6<BR>\n" );
document.write( "12(x-4)-(x+2)=(x+2)(x-4) becomes:<BR>\n" );
document.write( "12*2 - 8 = (8*2) becomes:<BR>\n" );
document.write( "24-8 = 16 becomes:<BR>\n" );
document.write( "16 = 16 which is true so the value of 6 for x is good.<BR>\n" );
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document.write( "let x = 7<BR>\n" );
document.write( "12(x-4)-(x+2)=(x+2)(x-4) becomes:<BR>\n" );
document.write( "12*3 - 9 = 9*3 becomes:<BR>\n" );
document.write( "36 - 9 = 27 becomes<BR>\n" );
document.write( "27 - 27 which is also true so the value of 7 for x is also good.<BR>\n" );
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document.write( "answer is confirmed and is:<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( "or <BR>\n" );
document.write( "x = 7<BR>\n" );
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