document.write( "Question 287647: absolute value
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document.write( "|2x + 6| - 4 = 20 \n" );
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Algebra.Com's Answer #208411 by texttutoring(324)![]() ![]() You can put this solution on YOUR website! First, get the absolute value by itself on the left side, by adding 4 to both sides of the Equation:\r \n" ); document.write( "\n" ); document.write( "|2x+6| = 24\r \n" ); document.write( "\n" ); document.write( "The absolute value sign means you have to consider two cases:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Case 1: the stuff inside the absolute value sign is positive:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x+6=24 \n" ); document.write( "2x=18 \n" ); document.write( "x=9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Case 2: the stuff inside the negative value sign is negative:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-(2x+6)=24 \n" ); document.write( "-2x-6=24 \n" ); document.write( "-2x=30 \n" ); document.write( "x=-15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there are two answers, x=9 or x= -15. \n" ); document.write( " |