document.write( "Question 319009: How many solutions are there to the equality | x - |2x + 1| | = 3?\r
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Algebra.Com's Answer #228390 by CharlesG2(834)\"\" \"About 
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How many solutions are there to the equality | x - |2x + 1| | = 3?\r
\n" ); document.write( "\n" ); document.write( "| x - |2x + 1| | = 3
\n" ); document.write( "this is equivalent to\r
\n" ); document.write( "\n" ); document.write( "x - |2x + 1| = -3 OR x - |2x + 1| = 3
\n" ); document.write( " -|2x + 1| = -3 - x -|2x + 1| = 3 - x
\n" ); document.write( " |2x + 1| = x + 3 |2x + 1| = x - 3\r
\n" ); document.write( "\n" ); document.write( "|2x + 1| = x + 3
\n" ); document.write( "this is equivalent to
\n" ); document.write( "2x + 1 = -(x + 3) OR 2x + 1 = x + 3
\n" ); document.write( "2x + 1 = -x - 3 x = 2
\n" ); document.write( " 3x = -4
\n" ); document.write( " x = -4/3\r
\n" ); document.write( "\n" ); document.write( "2 Solutions\r
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\n" ); document.write( "| x - |2x + 1| | = 3 plug in -4/3
\n" ); document.write( "| (-4/3) - |2(-4/3) + 1| | = 3
\n" ); document.write( "| -4/3 - |-8/3 + 1| | = 3
\n" ); document.write( "| -4/3 - |-5/3| | = 3
\n" ); document.write( "| -4/3 - 5/3 | = 3
\n" ); document.write( "| -9/3 | = 3
\n" ); document.write( "9/3 = 3
\n" ); document.write( "| x - |2x + 1| | = 3 plug in 2
\n" ); document.write( "| (2) - |2(2) + 1| | = 3
\n" ); document.write( "| 2 - |4 + 1| | = 3
\n" ); document.write( "| 2 - 5 | = 3
\n" ); document.write( "| -3 | = 3
\n" ); document.write( "3 = 3\r
\n" ); document.write( "\n" ); document.write( "2 Solutions\r
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