4/7x +5/14x=

To combine the terms \( \frac{4}{7}x \) and \( \frac{5}{14}x \), we first need a common denominator.

The common denominator for 7 and 14 is 14. We can rewrite \( \frac{4}{7} \) with a denominator of 14:

\[ \frac{4}{7} = \frac{4 \times 2}{7 \times 2} = \frac{8}{14} \]

Now we can rewrite the expression:

\[ \frac{8}{14}x + \frac{5}{14}x = \frac{8 + 5}{14}x = \frac{13}{14}x \]

So, the result is:

\[ \frac{13}{14}x \]