document.write( "Question 73144: Double the sum of a number and 6 is the same as 15 more than triple the same number. find the number \n" ); document.write( "

Algebra.Com's Answer #52399 by Earlsdon(6294) $\"\"$ $\"About$

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\"Double the sum of a number and 6...\" If n is the number then this can be written... $\"2%28n%2B6%29\"$
\n" ); document.write( "\"...is the same as (=) 15 more than triple the same number.\" This can be written... $\"3n%2B15\"$ . Put it all together and you get:
\n" ); document.write( " $\"2%28n%2B6%29+=+3n%2B15\"$ Simplify and solve for n.
\n" ); document.write( " $\"2n%2B12+=+3n%2B15\"$ Subtract 2n from both sides.
\n" ); document.write( " $\"12+=+n%2B15\"$ Subtract 15 from both sides,
\n" ); document.write( " $\"-3+=+n\"$
\n" ); document.write( "The number is -3
\n" ); document.write( "Check:
\n" ); document.write( "Double the sum of a number and 6. 2(-3+6) = 2(3) = 6
\n" ); document.write( "Fifteen more than triple the same number. 3(-3)+15 = -9+15 = 6 \n" ); document.write( "

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