**For the equation of line equidistant from both lines, we will find point through which line passes and is equidistant from both line.**

As any point lying on x = - 2 line is (- 2, 0) and on x = 6 is (6, 0), so mid - point is

(x, y) = (-2+6/2, 0+0/2)

(x, y) = (2,0)

**So, equation of line is x = 2.**