Which equation is equivalent to the statement "3 times the sum of 5 and a number is equal to 3 less than 2 times the number," if the number is represented by \(n\)?

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The following are the text equivalents for each of the incorrect expressions:

$$ (3)(5)+n=(2-3)n $$

Three times five plus a number is equal to a number times the difference between 2 and 3.

$$ (3)(5)+n=3-2n $$

Three times five plus a number is equal to 3 less than 2 times a number

$$ 3(5+n) =3-2n $$

3 times the sum of five and a number is equal to 3 less than 2 times a number

It may be helpful to replace a number with an actual number and think about which order you would do first. For example, how would you calculate "3 times the sum of 5 and 1" and "3 less than 2 times 1"?

$$ 3 (5+1 ) $$ $$ 2(1)-3 $$

Replace the variable back into the expressions once the method seems reasonable.

$$ 3(5+n) $$ $$ 2(n)-3 $$ $$ \boxed{3(5+n)=2n-3} $$