To solve the equation, we can simplify the expression on the left side:

x - [42 + (-28)] = -8

First, we can simplify the expression inside the brackets:

x - [42 + (-28)] = -8
x - [42 - 28] = -8
x - [14] = -8

Next, we can simplify further by removing the brackets:

x - 14 = -8

To isolate x, we can add 14 to both sides of the equation:

x - 14 + 14 = -8 + 14
x = 6

Therefore, the solution to the equation is x = 6.