Basically you have two options
scale_x_continuous(limits = c(-5000, 5000))
or
coord_cartesian(xlim = c(-5000, 5000))
Where the first removes all data points outside the given range and the second only adjusts the visible area. In most cases you would not see the difference, but if you fit anything to the data it would probably change the fitted values.
You can also use the shorthand function xlim (or ylim), which like the first option removes data points outside of the given range:
+ xlim(-5000, 5000)
For more information check the description of coord_cartesian.
The RStudio cheatsheet for ggplot2 makes this quite clear visually. Here is a small section of that cheatsheet:
Distributed under CC BY.
Quick note: if you’re also using coord_flip() to flip the x and the y axis, you won’t be able to set range limits using coord_cartesian() because those two functions are exclusive (see here).
Fortunately, this is an easy fix; set your limits within coord_flip() like so:
p + coord_flip(ylim = c(3,5), xlim = c(100, 400))
This just alters the visible range (i.e. doesn’t remove data points).