**Which best proves why the expressions 4 (x+3)+2x and 6 (x+2) must be equivalent expressions**

When you solve for the first expression, 4(x+3)+2x it is equal to 6x+12 which is the same as 6(x+2). The work for it is below.

4(x+3)+2x

4x+12+2x (Add like terms)

6x+12

and

6(x+2)

6x+12

So there for both expressions are equivalent to each other.

**Answer:**

**Step-by-step explanation:**

The given expressions are:

and

Taking the first expression, we have

=

=

=

Now, taking the second expression in order to solve it, we have

=

=

**which shows that both the expressions are equivalent in nature, thus on solving the given expressions, they comes out to be equivalent.**

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