jmc

We first deal with the denominator of this fraction by multiplying $6$ by $\frac{5}{5}$ and then subtracting $\frac{2}{5}$ from the resulting fraction to get: $$x=\frac{35}{6-\frac{2}{5}}=\frac{35}{\frac{30}{5}-\frac{2}{5}}=\frac{35}{\frac{28}{5}}.$$ Since dividing by a fraction is the same as multiplying by its reciprocal, we have that $$x=\frac{35}{\frac{28}{5}}=35\cdot \frac{5}{28}=5\cdot \frac{5}{4}=\boxed{\frac{25}{4}}.$$