Short Answer 
To solve the expression 2-(-4)+3+(-6)-(-2), first convert the subtractions of negative numbers into additions, transforming it into 2 + 4 + 3 – 6 + 2. After simplifying through step-by-step calculations, the final result is 5.
Step 1: Understand the Operation
To solve the problem 2-(-4)+3+(-6)-(-2), it’s crucial to recognize that subtracting a negative number is the same as adding its positive counterpart. This fundamental concept of arithmetic will simplify the calculations and help you approach the problem correctly.
Step 2: Simplify the Expression
Transform the original equation by replacing the subtraction of negative numbers with addition. The expression becomes:
- 2 + 4 (since -(-4) is +4)
- + 3
- + (-6) (which is -6)
- + 2 (from -(-2), which is +2)
Step 3: Perform Addition and Subtraction
Now proceed with the remaining operations step-by-step:
- Add: 2 + 4 = 6
- Add: 6 + 3 = 9
- Subtract: 9 – 6 = 3
- Add: 3 + 2 = 5
Thus, the final answer to the problem is 5.