To solve the equation \( \frac{6}{5}x = 90 \), follow these steps:
- Multiply both sides of the equation by \( \frac{5}{6} \) to isolate \( x \):
\[ x = 90 \cdot \frac{5}{6} \]
- Calculate the right side:
\[ x = 90 \cdot \frac{5}{6} = \frac{90 \cdot 5}{6} = \frac{450}{6} \]
- Simplify \( \frac{450}{6} \):
\[ \frac{450}{6} = 75 \]
Therefore, the solution is:
\[ x = 75 \]