What is the x intercept of tan(x-pi/3)?

This is the basic graph of the tangent shifted to the right by pi/3 units.

It will have  an x intercept at pi/3 ±  n(pi) units..... where n is an integer

Here's a graph.....https://www.desmos.com/calculator/mstzwah1m0

The x-intercept occurs when x-0.

When x=0, the expression equals tan(0- pi/3), which means that the graph crosses the x-axis @:

tan(-pi/3)

Be careful, this may be at more than one graph location.

Sorry, my mistake.

The x-intercept occurs when y=o, not x.