Solve the following equation to find x:
\(\frac{x-5}{3}-\frac{x-2}{4}=\frac{7}{2}\)
A tank has two inlets which can fill it in 4 hours and 6 hours, respectively. An outlet can empty the full tank in 8 hours. Both inlet taps are opened for an hour and closed. Then the three pipes are opened together.
The remaining part of the tank fills in:
5\( \frac{1}{3} \) hours
2 hours
3\( \frac{1}{4} \) hours
3 hours