We are given the equation $\frac{x}{3} + \frac{x}{3} = 10$ and asked to solve for $x$.

1. Problem Description

We are given the equation $\frac{x}{3} + \frac{x}{3} = 10$ and asked to solve for $x$.

2. Solution Steps

First, we can simplify the left side of the equation by adding the two fractions, since they have the same denominator:

$\frac{x}{3} + \frac{x}{3} = \frac{x+x}{3} = \frac{2x}{3}$

So the equation becomes:

$\frac{2x}{3} = 10$

Now we want to isolate $x$. We can do this by multiplying both sides of the equation by 3:

$3 \cdot \frac{2x}{3} = 3 \cdot 10$

$2x = 30$

Finally, we can divide both sides of the equation by 2 to solve for $x$:

$\frac{2x}{2} = \frac{30}{2}$

$x = 15$

3. Final Answer

$x = 15$