a) Subtract -6

Find the opposite
Add -2
Subtract -4
Find the opposite
The answer is -5
The original integer is_____

b) Add +14
Add -5
Find the opposite
Subtract +6
Add +3
The answer is 0
The original integer is ____

I need help. Thank you!

Thank you!

a) Let's start by solving the first equation step by step:

1. Subtract -6: To subtract a negative number, we change the sign and add. So, subtracting -6 is the same as adding 6. The equation becomes x + 6.

2. Find the opposite: The opposite of a number is another number that, when added together, results in zero. In this case, the opposite of x + 6 is -(x + 6), which gives -x - 6.

3. Add -2: We add -2 to -x - 6, resulting in -x - 6 - 2, or -x - 8.

4. Subtract -4: Similar to the first step, subtracting -4 is the same as adding 4. So, -x - 8 + 4 becomes -x - 4.

5. Find the opposite: The opposite of -x - 4 is -( -x - 4), which simplifies to x + 4.

6. The answer is -5: We know that x + 4 = -5, so the original integer is x = -5 - 4, which gives x = -9.

Therefore, the original integer is -9.

b) Now, let's solve the second equation step by step:

1. Add +14: This simply means adding 14 to the unknown integer, so the equation becomes x + 14.

2. Add -5: We add -5 to x + 14, resulting in x + 14 - 5, or x + 9.

3. Find the opposite: The opposite of x + 9 is -(x + 9), which simplifies to -x - 9.

4. Subtract +6: Subtracting +6 is the same as subtracting 6, so -x - 9 - 6 becomes -x - 15.

5. Add +3: Adding +3 to -x - 15 gives -x - 15 + 3, or -x - 12.

6. The answer is 0: We know that -x - 12 = 0, so the original integer is x = 0 - (-12), which simplifies to x = 0 + 12.

Therefore, the original integer is 12.

I hope this helps! Let me know if you have any further questions.

go backwards from the answer.

a) the opposite of -5 is 5. add 4 to get 9. add 2 to get 11. the opposite of 11 is -11. add 6 to get -5. the original integer is -5.

b) subtract 3 from 0 to get -3. add 6 to get 3. the opposite of 3 is -3. add 5 to get 2. subtract 14 to get -12. the original integer is -12.