document.write( "Question 436105: Five times the sum of some number plus 3 is equal to 7 times the number minus 3 \n" ); document.write( "
Algebra.Com's Answer #301723 by marilynh(7)\"\" \"About 
You can put this solution on YOUR website!
First we have to set up an equation to solve:
\n" ); document.write( "Let \"some number\" = x
\n" ); document.write( "therefore \"the sum of some number plus 3\" = x + 3
\n" ); document.write( "and \"five times the sum of some number plus 3\" = 5 ( x + 3)
\n" ); document.write( "So we have found one side of the equation is 5 ( x + 3)
\n" ); document.write( "We are told this is equal to 7 times the number minus 3:
\n" ); document.write( "\"seven time the number\" = 7x
\n" ); document.write( "therefore \"7 times the number minus 3\" = 7x - 3
\n" ); document.write( "Now set the two sides of the equation equal to each other and solve for x:
\n" ); document.write( "5 (x + 3) = 7x - 3
\n" ); document.write( "5x + 15 = 7x - 3
\n" ); document.write( "15 = 7x - 3 - 5x
\n" ); document.write( "15 = 2x - 3
\n" ); document.write( "15 + 3 = 2x
\n" ); document.write( "18 = 2x
\n" ); document.write( "9 = x
\n" ); document.write( "\"some number\" = 9\r
\n" ); document.write( "\n" ); document.write( "Check your answer by substituting 18 for x in the equation:
\n" ); document.write( "5 (9 + 3) = 7(9) - 3
\n" ); document.write( "5 (12) = 63 - 3
\n" ); document.write( "60 = 60\r
\n" ); document.write( "\n" ); document.write( "Since multiplication comes before subtraction \"7 times the number minus 3\" means 7x - 3, not 7(x-3)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );