Question

Tille is solving an equation for x. Her first step is to subtract 8 from both sides if the equation which equation is she solving?

12 - x = -8

12 - x = 8

12 = -x -8

12 = -x + 8

Answer 1

To determine which equation Tille is solving by subtracting 8 from both sides, we can analyze each option:

1. **12 - x = -8**
- If Tille subtracts 8 from both sides:
\[
12 - x - 8 = -8 - 8
\]
This simplifies to:
\[
4 - x = -16
\]

2. **12 - x = 8**
- If Tille subtracts 8 from both sides:
\[
12 - x - 8 = 8 - 8
\]
This simplifies to:
\[
4 - x = 0
\]
or
\[
12 - x - 8 = 0
\]

3. **12 = -x - 8**
- If Tille subtracts 8 from both sides:
\[
12 - 8 = -x - 8
\]
This simplifies to:
\[
4 = -x - 8
\]

4. **12 = -x + 8**
- If Tille subtracts 8 from both sides:
\[
12 - 8 = -x + 8
\]
This simplifies to:
\[
4 = -x + 8
\]

Now, Note that the first equation \(12 - x = -8\) yields \(4 - x = -16\) after Tille's operation. However, it can be inferred that the most likely equation where subtracting 8 would immediately yield an equation is **12 - x = 8** as it directly becomes **4 - x = 0** after subtracting 8, simplifying either to \(x = 4\) or confirming \(- x = -4\) implying that she might be trying to balance them positively without complications.

The conclusion is that the equation Tille is most likely trying to solve is:

**12 - x = 8**.