document.write( "Question 1056976: The sum of four times a number and 4 more is the same as the difference between -31 and twice the number. What is that number? \n" ); document.write( "
Algebra.Com's Answer #672043 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let x=the number\r \n" ); document.write( "\n" ); document.write( "4x+4 (sum of four times a number and 4 more) \n" ); document.write( "-31-2x (difference between -31 and twice the number)\r \n" ); document.write( "\n" ); document.write( " Set the above two things equal to each other (\"…the same as…\")\r \n" ); document.write( "\n" ); document.write( " 4x+4 = -31-2x \n" ); document.write( " 6x+4 = -31 (added 2x to both sides) \n" ); document.write( " 6x = -35 (subtracted 4 from both sides)\r \n" ); document.write( "\n" ); document.write( " Ans: x = -35/6\r \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( " 4(-35/6) + 4 = (-140+24)/6 = -116/6 \n" ); document.write( " -31-2(-35/6) = (-186+70)/6 = -116/6 (ok)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |