The distnace from a plane to a point can be found here

Point-Plane Distance -- from Wolfram MathWorld
I am not sure what you plane is. You only specify one point for the plane, we need more information. If you can put the equation of the plane in standard form

$\displaystyle ax+by+cz+d=0$ and write the equaiton of the line in parametric form

$\displaystyle (2t,3t+5,t+2)$

If you use the reasoning or the formula in the link above you will get

$\displaystyle D=\frac{a(2t)+b(3t+5)+c(t+2)+d}{\sqrt{a^2+b^2+c^2} }$

Now just sub into the equation and solve for t.