Let the numerator be $x$.
Then the denominator is $3x-7$.
We can set up the equation $\frac{x}{3x-7}=\frac{2}{5}$.
Cross-multiplying gives $5x=2(3x-7)$.
Expanding the right side gives $5x=6x-14$.
Subtracting $6x$ from both sides gives $-x=-14$.
Dividing both sides by $-1$ gives $x=\boxed{14}$.
The answer is: 14
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
The denominator of a fraction is 7 less than 3 times the numerator.  If the fraction is equivalent to $2/5$, what is the numerator of the fraction?

### Answer:
