document.write( "Question 152539: The product of 3 and the sum of a number and 5 is the same as the product or -2 and the difference of the same number from 3. Find the number. \n" ); document.write( "

Algebra.Com's Answer #112102 by Fombitz(32388) $\"\"$ $\"About$

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Let's call the number N.
\n" ); document.write( "The product of 3 and the sum of a number and 5 would be $\"3%2A%28N%2B5%29\"$ .
\n" ); document.write( "The product of -2 and the difference of the same number from 3 would be $\"-2%2A%283-N%29\"$ .
\n" ); document.write( "We can equate those two and solve for N.
\n" ); document.write( " $\"3%2A%28N%2B5%29=-2%2A%283-N%29\"$
\n" ); document.write( " $\"3N%2B15=-6%2B2N\"$
\n" ); document.write( " $\"N=-21%29\"$ \n" ); document.write( "

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