The line is given by x= -8+5t, y= 5, z= -6- 2t.

Putting those into the equation of the plane, -(-8+ 5t)- 2(5)+ 5(-6- 2t)= 8- 5t- 10- 30- 10t= -15t- 32= 0 so that t= -32/15 and then

x= -8+ 5(-32/15)= -8- 32/3= (-24- 32)/3= -56/3.

y= 5

z= -6- 2(-32/15)= (-90+ 64)/15= -26/15