Step 1 :The x-intercept is the point where the graph of the equation crosses the x-axis. At this point, the y-coordinate is 0.
Step 2 :So, to find the x-intercept, we need to set y = 0 in the equation and solve for x.
Step 3 :Substitute y = 0 into the equation 2x + 6y = 36, we get 2x = 36.
Step 4 :Solving for x, we get x = 18.
Step 5 :Final Answer: The x-intercept is \(\boxed{18}\).