What expression is equivalent to 5(4 + 2x) using distributive property

Using the distributive property, 10x + 20.

(5 * 4) + (5 * 2x) = 20 + 10x = 10x + 20.

Hello!

The problem given in the image above has asked us to simplify the expression using the Distributive Property. The Distributive Property states the following:

a(b + c) = ab + ac
a(b – c) = ab – ac

In this case, we’ll use the first of the two formulas. Insert any known values given in the original equation:

a(b + c) = ab + ac
5(4 + 2x) = 5(4) + 5(2x)

Now simplify the right side of the equation:

5(4) + 5(2x) = 20 + 10x

We have now proven that 5(4 + 2x) is equivalent to the expression 20 + 10x.

I hope this helps!