Question

Tillie is solving an equation for x her first step is to subtract 8 from both sides of 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 Tillie is solving when she subtracts 8 from both sides, we need to analyze each option:

1. **12 - x = -8**
- Starting with this equation:
\( 12 - x = -8 \)
Subtracting 8 from both sides:
\( 12 - x - 8 = -8 - 8 \)
Which simplifies to:
\( 4 - x = -16 \)

2. **12 = -x - 8**
- Starting with this equation:
\( 12 = -x - 8 \)
Subtracting 8 from both sides:
\( 12 - 8 = -x - 8 \)
Which simplifies to:
\( 4 = -x - 8 \)

3. **12 - x = 8**
- Starting with this equation:
\( 12 - x = 8 \)
Subtracting 8 from both sides:
\( 12 - x - 8 = 8 - 8 \)
Which simplifies to:
\( 4 - x = 0 \)

4. **12 = -x * 8**
- Starting with this equation:
\( 12 = -x * 8 \)
Subtracting 8 from both sides does not work as it is not in the form we are looking for.

The only equation in which subtracting 8 from both sides makes sense in this context is:

**12 - x = 8**

So the equation Tillie is solving is **12 - x = 8**.