To solve the equation \( 3 - \frac{5}{3}x = 18 \), we will first isolate the term with \( x \).
- Subtract 3 from both sides:
\[
- \frac{5}{3}x = 18 - 3 \]
\[
- \frac{5}{3}x = 15 \]
- Now, multiply both sides by \(-3/5\) to solve for \( x \):
\[ x = 15 \cdot \left(-\frac{3}{5}\right) \]
- Perform the multiplication:
\[ x = -\frac{45}{5} \]
\[ x = -9 \]
Thus, the solution is:
\[ \boxed{-9} \]
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