To solve the equation 3 - x = -2, we need to isolate the variable x on one side of the equation.

Step 1: Simplify the equation
- Start by subtracting 3 from both sides of the equation to eliminate the constant term on the left side. This can be done by performing the inverse operation of addition.
- The equation becomes: -x = -5

Step 2: Isolate the variable
- To further isolate the variable x, we need to get rid of the negative sign in front of it. This can be done by multiplying both sides of the equation by -1.
- Multiplying both sides by -1 yields: x = 5

Step 3: Check the solution
- To ensure the solution is correct, substitute the value of x back into the original equation and verify if it satisfies the equation.
- Plugging in x = 5 into the original equation, we have: 3 - 5 = -2
- Simplifying the left side, we get: -2 = -2
- Since both sides are equal, the solution x = 5 is correct.

Summary:
To solve the equation 3 - x = -2, we subtracted 3 from both sides to eliminate the constant term on the left side. Then, we multiplied both sides by -1 to get rid of the negative sign in front of x. The solution is x = 5, which satisfies the original equation when substituted back in.