To solve this equation, we first need to expand both sides:

(х + 10)2 = (х + 10)(х + 10) = х2 + 10х + 10х + 100 = х2 + 20х + 100

(2 - х)2 = (2 - х)(2 - х) = 4 - 2х - 2х + х2 = 4 - 4х + х2

Now, set the expanded expressions equal to each other and solve for x:

х2 + 20х + 100 = 4 - 4х + х2
20х + 100 = 4 - 4х
24х + 100 = 4
24х = -96
x = -4

Therefore, the solution to the equation (х + 10)2 = (2 − х)2 is x = -4.