document.write( "Question 134525: ok last one for the day. Thank you for your time.\r
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document.write( " type an integer or simplified fraction x=?\r
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document.write( " -8x-21=-23 2/3 \n" );
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Algebra.Com's Answer #98407 by nycsharkman(136)![]() ![]() ![]() You can put this solution on YOUR website! Solve for x: -8x-21=-23 2/3\r \n" ); document.write( "\n" ); document.write( "The first thing you want to do is rewrite the mixed number -23_2/3 as an improper fraction.\r \n" ); document.write( "\n" ); document.write( "So, -23_2/3 becomes -(71/3).\r \n" ); document.write( "\n" ); document.write( "We now have -8x - 21 = -(71/3)\r \n" ); document.write( "\n" ); document.write( "We multiply every term on BOTH sides of the fractional equation by -3 to remove the fraction on the right side.\r \n" ); document.write( "\n" ); document.write( "It is easier working without fractions.\r \n" ); document.write( "\n" ); document.write( "-8x times -3 = 24x\r \n" ); document.write( "\n" ); document.write( "-21 times - 3 = 63\r \n" ); document.write( "\n" ); document.write( "-(71/3) times - 3 = 71\r \n" ); document.write( "\n" ); document.write( "We now have this linear equation:\r \n" ); document.write( "\n" ); document.write( "24x + 63 = 71\r \n" ); document.write( "\n" ); document.write( "Subtract 63 from 71 and then equate difference to 24x.\r \n" ); document.write( "\n" ); document.write( "24x = 8\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 24 to find x.\r \n" ); document.write( "\n" ); document.write( "x = 8/24\r \n" ); document.write( "\n" ); document.write( "x = 1/3\r \n" ); document.write( "\n" ); document.write( "Got it?\r \n" ); document.write( "\n" ); document.write( "- \n" ); document.write( " |