document.write( "Question 153768: the diffrence between six times a number and 9 is equal to five times the sum of the number and 2. find the number \n" ); document.write( "
Algebra.Com's Answer #113267 by orca(409)\"\" \"About 
You can put this solution on YOUR website!
Let x be the number.
\n" ); document.write( "Then
\n" ); document.write( "The difference between six times a number and 9 can be expressed as
\n" ); document.write( "6x - 9
\n" ); document.write( "Five times the sum of the number and 2 can be expressed as
\n" ); document.write( "5(x + 2)
\n" ); document.write( "As they are the same, we have
\n" ); document.write( "6x - 9 = 5(x + 2)
\n" ); document.write( "Solving for x, we have
\n" ); document.write( "6x - 9 = 5x + 10
\n" ); document.write( "x = 19
\n" ); document.write( "So the number is 19.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );