To solve for x in the equation 2 + 8 - x = -24, we can follow these steps:
1. Combine the constants on the left-hand side of the equation:
10 - x = -24
2. Subtract 10 from both sides of the equation:
- x = -34
3. Multiply both sides of the equation by -1 to isolate x:
x = 34
Therefore, the solution to the equation 2 + 8 - x = -24 is x = 34.
We can check the answer by plugging in x = 34 into the original equation:
2 + 8 - 34 = -24
-24 = -24
Since the left-hand side is equal to the right-hand side, the solution is correct.