document.write( "Question 214847: Four times the difference of a number and 2 is the same as 2 increased by four times the number plus twice the number. Find the number. How do you solve this? I don't understand it. \n" ); document.write( "
Algebra.Com's Answer #162412 by drj(1380)![]() ![]() You can put this solution on YOUR website! Four times the difference of a number and 2 is the same as 2 increased by four times the number plus twice the number. Find the number. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let n be the number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let n-2 is the difference between the number and 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let 4(n-2) is four times the difference between the number and 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Let 2+4n+2n be 2 increased by 4 times the number plus twice the number \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where 4n is four times the number and 2n is twice the number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. Set expressions in Step 3 and 4 equal.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 4n to both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract -2 to both sides of the equation to get solve for n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 5 to both sides of equation to get n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 6. ANSWER. The number is -5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J \n" ); document.write( " |