Answer:
To solve for x in the equation x+8|=-2, we first need to isolate the absolute value expression on the left side of the equation. We can start by subtracting 8 from both sides: x + 8 | = -2 x + 8 - 8 | = -2 - 8 x | = -10 Now we can solve for x by considering the two cases for the absolute value: 1. x + 8 = -10 2. -(x + 8) = -10 Solving for x in each case, we get: 1. x = -18 2. x = 2 Therefore, the solutions for x are -18 and 2.