### Instruction: Solve for $x$: $x = \dfrac{35}{6-\frac{2}{5}}$.### Response: So we have $x = \dfrac{35}{6-\frac{2}{5}}$
that's a complicated fraction, let's simplify it.
Ok, so $6 - \frac{2}{5}$ is the same as $\frac{30}{5} - \frac{2}{5}$ which is $\frac{28}{5}$.
Great, so we now have $x = \dfrac{35}{\frac{28}{5}}$.
Right, and $\frac{35}{\frac{28}{5}}$ is the same as $\frac{35*5}{28}$.
And that is $\frac{175}{28}$.
So we have $x = \frac{175}{28}$
And that means $x = \frac{25}{4}$
We can also write $x = 6 \frac{1}{4}$.