Use the Associative property to simplify the expression 3x+(x+2) to its simplest equivalent form

1 answer

To simplify the expression \( 3x + (x + 2) \) using the Associative Property, we'll first rearrange the terms.

The Associative Property allows us to regroup the terms without changing the sum. Here, we can rewrite the expression by combining \( 3x \) and \( x \):

\[ 3x + (x + 2) = (3x + x) + 2 \]

Now we can simplify \( 3x + x \):

\[ 3x + x = 4x \]

Substituting this back into the expression gives us:

\[ (3x + x) + 2 = 4x + 2 \]

Thus, the simplified form of the expression \( 3x + (x + 2) \) is:

\[ \boxed{4x + 2} \]