document.write( "Question 1069476:  the product of 7 and the sum of a number and 5 result in the difference of 5 and the number.\r
\n" );
document.write( "\n" );
document.write( "eighteen less than twice a number is -28. Find the number. \n" );
document.write( "
Algebra.Com's Answer #684677 by addingup(3677)    You can put this solution on YOUR website! Let the number be x: \n" ); document.write( "the product of 7 and the sum of a number and 5: 7(x+5) \n" ); document.write( "result: = \n" ); document.write( "in the difference of 5 and the number: 5-x \n" ); document.write( ": \n" ); document.write( "Put it all together: \n" ); document.write( "7(x+5) = 5-x using the Distributive Property of multiplication, distribute the 7 over the elements in the parenthesis: \n" ); document.write( "7x+35 = 5-x subtract 35 and add x on both sides \n" ); document.write( "8x = -30 \n" ); document.write( "x = -3.75 \n" ); document.write( "----------------------------------------------- \n" ); document.write( "Check: \n" ); document.write( "7(-3.75+5) = 5-(-3.75) \n" ); document.write( "-26.25+35 = 5+3.75 \n" ); document.write( "8.75 = 8.75 Correct \n" ); document.write( ": \n" ); document.write( "John \n" ); document.write( "  |