To solve for \( x \) in the equation \( 65x = 90 \), you can divide both sides by 65:
\[ x = \frac{90}{65} \]
Now, simplify the fraction:
\[ x = \frac{90 \div 5}{65 \div 5} = \frac{18}{13} \]
Thus, the solution is:
\[ x = \frac{18}{13} \]
If you want to express it as a decimal, you can compute it as:
\[ x \approx 1.3846 \]
So, the final answer is:
\[ x = \frac{18}{13} \quad \text{or} \quad x \approx 1.3846 \]