document.write( "Question 1204281: Eleven diminished by 5 times a
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document.write( "number is the same as 4 times the number increased by 20. Find the number. \n" );
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Algebra.Com's Answer #840428 by mananth(16946) You can put this solution on YOUR website! \n" ); document.write( "Let the number be \"x.\"\r \n" ); document.write( "\n" ); document.write( "11 - 5x = 4x + 20\r \n" ); document.write( "\n" ); document.write( "First, let's get all the terms involving x on one side of the equation. Add 5x to both sides: \n" ); document.write( "11 - 5x + 5x = 4x + 5x + 20\r \n" ); document.write( "\n" ); document.write( "we get\r \n" ); document.write( "\n" ); document.write( "11 = 9x + 20 \n" ); document.write( "subtract 20 from both sides: \n" ); document.write( "11 - 20 = 9x + 20 - 20\r \n" ); document.write( "\n" ); document.write( "we get \r \n" ); document.write( "\n" ); document.write( "-9 = 9x\r \n" ); document.write( "\n" ); document.write( "Finally, divide both sides by 9 to solve for x: \n" ); document.write( "-9 / 9 = 9x / 9\r \n" ); document.write( "\n" ); document.write( "x = -1\r \n" ); document.write( "\n" ); document.write( "The number is -1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |