Equation of plane parallel to a given plane at some distance

Equation of a plane parallel to a given plane(vector + cartesian)

The equation of a plane parallel to x-axis is

Equation of plane parallel to ZX-plane and passing through the point (0,2,0) is

An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is

An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is

Find the equations of the plane parallel to the plane x-2y+2z-3=0\ and which are at a unit distance from the point (1, 1, 1).

Find the equation of the planes parallel to the planes x-2y+2z=3 which is at a unit distance from the point (1, 2, 3) .

Write the equation of the plane parallel to YOZ-plane and passing through (-4, 1, 0).

Write the equation of the plane parallel to YZ-plane and passing through the point (-3,2,0).