Answer
$2x+7y+2z=-10$
Work Step by Step
Here, the normal equation of a plane is: $n=\lt 2,7,2 \gt$
We know that the standard equation of a plane passing through the point $(x_0,y_0,z_0)$ is written as: $a(x-x_0)+b(y-y_0)+c(z-z_0)=0$
Then, for the point $(-2,0,-3)$, we have
$2(x+2)+7(y-0)+2(z+3)=0$
or, $2x+4+7y+2z+6=0$
or, $2x+7y+2z=-10$