To solve the equation \( 2x^{1/3} + 6 = 18 \), follow these steps:
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Subtract 6 from both sides: \[ 2x^{1/3} = 12 \]
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Divide both sides by 2: \[ x^{1/3} = 6 \]
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Now, to solve for \( x \), cube both sides of the equation: \[ x = 6^3 \]
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Calculate \( 6^3 \): \[ 6^3 = 216 \]
Thus, the correct solution for \( x \) is \( \boxed{216} \).