document.write( "Question 799549: Help me sole this absolute value equation step by step with the check 2|3x-2|=14
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Algebra.Com's Answer #482723 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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2|3x-2| = 14
\n" ); document.write( "divide both sides by 2
\n" ); document.write( "|3x - 2| = 7
\n" ); document.write( "Remove the abs, solve two equations
\n" ); document.write( "3x - 2 = 7
\n" ); document.write( "3x = 7 + 2
\n" ); document.write( "3x = 9
\n" ); document.write( "x = 9/3
\n" ); document.write( "x = 3
\n" ); document.write( "and
\n" ); document.write( "3x - 2 = -7
\n" ); document.write( "3x = -7 + 2
\n" ); document.write( "3x = -5
\n" ); document.write( "x = -5/3\r
\n" ); document.write( "\n" ); document.write( ":
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\n" ); document.write( "Check this by replacing x in the original problem with both solutions
\n" ); document.write( "x = 3
\n" ); document.write( "2|3(3)-2| = 14
\n" ); document.write( "2(7) = 14
\n" ); document.write( "and
\n" ); document.write( "x=-5/3
\n" ); document.write( "2|3(-5/3)-2| = 14
\n" ); document.write( "2|-5 - 2) = 14
\n" ); document.write( "2|-7| = 14
\n" ); document.write( "Any value coming out of the abs, is positive
\n" ); document.write( "2(+7) = 14 \n" ); document.write( "

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