document.write( "Question 707481: Find the absolute value of |6x-8|=12 \n" ); document.write( "
Algebra.Com's Answer #435720 by josgarithmetic(39625)\"\" \"About 
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Two possibilities. Either 6x-8 is positive (or zero) or it is negative. Test solve for each case.\r
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\n" ); document.write( "\n" ); document.write( "6x-8>0;
\n" ); document.write( "|6x-8|=6x-8>12,
\n" ); document.write( "6x=12+8
\n" ); document.write( "6x=20
\n" ); document.write( "3x=10
\n" ); document.write( "x=10/3.\r
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\n" ); document.write( "\n" ); document.write( "6x-8<0;
\n" ); document.write( "|6x-8|=-(6x-8) [examine that very carefully]
\n" ); document.write( "-(6x-8)=12
\n" ); document.write( "-6x+8=12
\n" ); document.write( "8-6x=12
\n" ); document.write( "-6x=4
\n" ); document.write( "x=-4/6
\n" ); document.write( "x=-2/3\r
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\n" ); document.write( "\n" ); document.write( "ANSWER: \"x=-2%2F3\" OR \"x=10%2F3\"
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