Solve the Subtraction Equation: Finding x when x - (-2) = 10

To solve this problem, we'll follow these steps:

• Step 1: Set up the equation based on the problem statement.
• Step 2: Solve the equation step-by-step.
• Step 3: Compare with the answer choices to select the correct option.

Now, let's work through each step:

Step 1: The problem gives us the equation $-2 - x = 10$.

Step 2: To isolate $x$, we start by adding $2$ to both sides of the equation: $-2 - x + 2 = 10 + 2$ $-x = 12$

Then, multiply both sides by $-1$ to solve for $x$: $x = -12 \times -1$ $x = -12$

Step 3: Therefore, when $x = -12$, it satisfies the condition that $-2 - (-12) = 10$.

Therefore, the solution to the problem is $x = 8$.