document.write( "Question 707481: Find the absolute value of |6x-8|=12 \n" ); document.write( "
Algebra.Com's Answer #435720 by josgarithmetic(39625) ![]() You can put this solution on YOUR website! Two possibilities. Either 6x-8 is positive (or zero) or it is negative. Test solve for each case.\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER: |