document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208247>Question 1208247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> |x+4|+2|x+4|+4|x+4|+5=19\r<BR>\n" );
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document.write( "Hi tutor<BR>\n" );
document.write( "I am struggling in my algebra class, particularly with absolute value. Would you please take me step by step through the process of how I would solve it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846543 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52794)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=846543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "|x+4| + 2|x+4| + 4|x+4| + 5 = 19.<BR>\n" );
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document.write( "It is easy.\r\n" );
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document.write( "On the left side, you have  three addends with identical part |x+4|.\r\n" );
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document.write( "So, you combine like terms in the left side. Then your equation takes the form\r\n" );
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document.write( "    7*|x+4| + 5 = 19.\r\n" );
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document.write( "Now move constant term 5 from left side to the right (by subtracting 5 from both sides).\r\n" );
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document.write( "You get then\r\n" );
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document.write( "    7*|x+4| = 19 - 5,\r\n" );
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document.write( "or\r\n" );
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document.write( "    7*|x+4| = 14.\r\n" );
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document.write( "Next, you divide both sides by 7.  It gives you\r\n" );
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document.write( "    |x+4| = 14/7 = 2.\r\n" );
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document.write( "Thus, the absolute value of (x+4) is 2.  It means that x+4 is EITHER 2 OR -2.\r\n" );
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document.write( "Therefore, we consider two cases.\r\n" );
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document.write( "    Case 1.  x+4 = 2.  Subtract 4 from both sides.  You will get\r\n" );
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document.write( "             x = 2 - 4 = -2.  So, x = -2 is the solution.\r\n" );
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document.write( "    Case 2.  x+4 = -2.  Again, subtract 4 from both sides.  You will get\r\n" );
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document.write( "             x = -2 - 4 = -6.  So, x = -6 is another solution.\r\n" );
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document.write( "Thus, the given equation has two solutions:  x= -2  and x= -6.\r\n" );
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document.write( "<U>CHECK</U>.  First, check that that x= -2 is the solution.\r\n" );
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document.write( "        You have  |-2+4| = |2| = 2.  ! correct !\r\n" );
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document.write( "        Next, check that x= -6 is the solution.  \r\n" );
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document.write( "        You have  |-6+4| = |-2| = 2.  ! correct !\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "At this point, the solution is complete.\r<BR>\n" );
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document.write( "Come again to this forum soon to learn something new !\r<BR>\n" );
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document.write( "To see many other similar introductory level absolute value equations <BR>\n" );
document.write( "with detailed solutions and explanations, &nbsp;look into the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/absolute-value/-Absolute-Value-equations.lesson>Absolute Value equations</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Learn the subject from there. &nbsp;This lesson is to start.\r<BR>\n" );
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document.write( "When you become more familiar with the subject, &nbsp;you may start learning <BR>\n" );
document.write( "more complicated absolute value equations from other lessons in that section.\r<BR>\n" );
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document.write( "Do not hesitate to ask questions, &nbsp;if you need it.\r<BR>\n" );
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document.write( "To learn this subject, &nbsp;it is necessary to solve sufficient amount of relevant problems <BR>\n" );
document.write( "on your own. &nbsp;It is also good to read/(to look at) &nbsp;solutions from other sources.\r<BR>\n" );
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document.write( "The lessons in this section do provide you this possibility /opportunity.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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