Let's first simplify both sides of the equation:

(х-5)(х+5) - 7х = (3 - х)^2 + 5

Expanding the left side:

(х^2 - 25) - 7х

Expanding the right side:

(3 - х)(3 - х) + 5
(3 - х)^2 + 5
(3 - х)(3 - х)
9 - 3х - 3х + х^2 + 5
9 - 6х + х^2 + 5

Simplifying further:

х^2 - 25 - 7х = 14 - 6х + х^2

Subtracting terms on the right side to the left side and simplifying:

Dividing by -1 to solve for x:

x = -39

Therefore, the solution to the equation is x = -39.