## Answer :

A. 4/3 (x + 2) = 4/3x + 8/3

B. 1/3 (4x + 6) = 4/3x + 2

C. 2/3 (2x + 4) = 4/3x + 8/3

D. 2/3 (2x + 7) = 4/3x + 14/3

It means that D is correct.

For this case we have the following expression:

[tex] \frac{4}{3}x + 4\frac{2}{3} [/tex]

The first thing we must do for this case is to write the mixed number as a fraction.

We have then:

[tex] \frac{4}{3}x + \frac{14}{3} [/tex]

Then, we can do common factor 2/3 in the expression.

We have then:

[tex] \frac{2}{3}(2x + 7) [/tex]

** Answer:**

** An equivalent expression is:**

[tex] \frac{2}{3}(2x + 7) [/tex]

** Option D**