document.write( "Question 65022: I cant figure out this word problem: Five times a number is 21 less than twice the opposite of the number. What is the number? \n" ); document.write( "
Algebra.Com's Answer #45534 by 303795(602)![]() ![]() ![]() You can put this solution on YOUR website! Call the required number x. \n" ); document.write( "Five times the number is 5x. \n" ); document.write( "If this is 21 less than something then add on 21 so it will be equal to it. \n" ); document.write( "5x + 21 = \n" ); document.write( "The opposite of the number is (-x). Twice that will be 2*(-x) \n" ); document.write( "So 5x + 21 = 2*(-x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x + 21 = -2x \n" ); document.write( "Add 2x to both sides of the equation \n" ); document.write( "5x + 26 + 2x = -2x + 2x \n" ); document.write( "7x + 21 = 0 \n" ); document.write( "Subtract 21 from each side of the equation \n" ); document.write( "7x + 21 - 21 = 0 - 21 \n" ); document.write( "7x = -21 \n" ); document.write( "x=-21/7 \n" ); document.write( "x=-3 \n" ); document.write( "Check if this meets the original conditions. \n" ); document.write( " |