Let's denote the number of video games Josh has as \( J \).
According to the problem, Will has two less than three times as many video games as Josh. This can be expressed with the equation: \[ W = 3J - 2 \] where \( W \) is the number of video games Will has.
We know that Will has 19 video games (i.e., \( W = 19 \)). So we can substitute 19 for \( W \) in the equation: \[ 19 = 3J - 2 \]
Now, we can solve for \( J \).
First, add 2 to both sides of the equation: \[ 19 + 2 = 3J \] \[ 21 = 3J \]
Next, divide both sides by 3: \[ J = \frac{21}{3} = 7 \]
So, Josh has \( \boxed{7} \) video games.