document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86335>Question 86335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each of the following equations for x, and check your results.\r<BR>\n" );
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document.write( "2(x – 3) – 3(x + 5) = 3(x – 2) – 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62463 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=62463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
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document.write( "Solve each of the following equations for x, and check your results.\r<BR>\n" );
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document.write( "2(x – 3) – 3(x + 5) = 3(x – 2) – 7\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "2(x – 3) – 3(x + 5) = 3(x – 2) – 7\r<BR>\n" );
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document.write( "Remove the parenthesis by  mulitplying .....as follows...\r<BR>\n" );
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document.write( "2*x - 2*3 - 3*x - 3*5 = 3*x - 3*2 - 7\r<BR>\n" );
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document.write( "==> 2x - 6 - 3x - 15 = 3x - 6 - 7\r<BR>\n" );
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document.write( "==> 2x - 3x - 6 - 15 = 3x - 6 - 7\r<BR>\n" );
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document.write( "==> -x - 15 = 3x - 17\r<BR>\n" );
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document.write( "Add x on both sides of the expression.....\r<BR>\n" );
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document.write( "==> -x - 15  + x = 3x - 17  + x\r<BR>\n" );
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document.write( "==> -x + x - 15 = 3x + x - 7\r<BR>\n" );
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document.write( "==> 0 -15 = 4x -7\r<BR>\n" );
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document.write( "Add 7 on both sides....\r<BR>\n" );
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document.write( "==> -15 + 7 = 4x - 7 + 7\r<BR>\n" );
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document.write( "==> -8 = 4x\r<BR>\n" );
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document.write( "Divde both sides by 4\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-8%2F4++=+4x%2F4+ ALIGN=MIDDLE  ALT=\"+-8%2F4++=+4x%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> -2 = x\r<BR>\n" );
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document.write( "So the solution is x = -2\r<BR>\n" );
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document.write( "To check your answer, plugg the value of x in the given expression......\r<BR>\n" );
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document.write( "==> 2(-2 – 3) – 3(-2 + 5) = 3(-2 – 2) – 7\r<BR>\n" );
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document.write( "==> 2(-5) – 3(3) = 3(-4) – 7\r<BR>\n" );
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document.write( "==> -10 - 9 = -12 -7\r<BR>\n" );
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document.write( "==> -19 = -19\r<BR>\n" );
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document.write( "That when we substitute the value of x in the given expression, you can see that  in the left and right hand side you have got the same value...that is -19\r<BR>\n" );
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document.write( "That is your solution is correct\r<BR>\n" );
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document.write( "That the value x = -2 satisfies the given expression.\r<BR>\n" );
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document.write( "Hope you found the explanation useful...\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena. </SPAN>\n" );
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