To solve the equation \( 3 - \frac{5}{3} x = 18 \), follow these steps:
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Isolate the term with \( x \): \[ -\frac{5}{3} x = 18 - 3 \] \[ -\frac{5}{3} x = 15 \]
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Multiply both sides by \(-1\) to eliminate the negative sign: \[ \frac{5}{3} x = -15 \]
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Multiply both sides by \(\frac{3}{5}\) to isolate \( x \): \[ x = -15 \cdot \frac{3}{5} \] \[ x = -9 \]
So, the solution is: \[ \boxed{-9} \]