To find the x-intercept of the line given by the equation \(-2x + 12y = 18\), you need to set \(y = 0\) and solve for \(x\).
Substituting \(y = 0\) into the equation:
\[ -2x + 12(0) = 18 \]
This simplifies to:
\[ -2x = 18 \]
Now, solve for \(x\) by dividing both sides by \(-2\):
\[ x = \frac{18}{-2} = -9 \]
Therefore, the x-intercept is \((-9, 0)\).
So, the answer is:
\[ (-9, 0) \]