document.write( "Question 1132528: Can you help me solve this equation: 2|x+4|-2=8
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Algebra.Com's Answer #749591 by ikleyn(52832) $\"\"$ $\"About$

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document.write( "2*|x+4| - 2 = 8  ====>  (move -2 to the right, changing the sign)  ====>\r\n" );
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document.write( "2*|x+4| = 8 + 2 = 10   ====>  (divide both sides by 2)  ====>\r\n" );
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document.write( "|x+4| =  = 5\r\n" );
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document.write( "At this point you have two alternatives.\r\n" );
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document.write( "    EITHER  (a)  x + 4 = 5     ====>  x = 5-4 = 1.                                    ANSWER\r\n" );
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document.write( "    OR      (b)  -(x + 4) = 5  ====>  -x - 4 = 5  ====>  -5 - 4 = x  ====>  x = -9.    ANSWER\r\n" );
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document.write( "Answer.  The given equation has TWO SOLUTIONS  x= -9  and  x= 1\r\n" );
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\n" ); document.write( "\n" ); document.write( "To read more on solving so called \"absolute value equations\", look into the introductory lesson\r
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\n" ); document.write( "\n" ); document.write( "When you will get an assignment to solve more complex \"absolute value equations\", come to this forum again - I will teach you on how to do it.\r
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