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?(1 point)
Responses

12 = −x − 8
12 equals negative x minus 8

12 − x = 8
12 minus x equals 8

12 − x = −8
12 minus x equals negative 8

12 = −x + 8

Answer 1

Tillie's first step is to subtract 8 from both sides of the equation.

Let’s analyze the given equations:

1. **12 = −x − 8**
- If we add 8 to both sides:
- \( 12 + 8 = -x \)
- \( 20 = -x \)
- This is not what we started with.

2. **12 − x = 8**
- If we subtract 8 from both sides:
- \( 12 - x - 8 = 0 \)
- \( 4 - x = 0 \)
- This does not match the original equation.

3. **12 − x = −8**
- If we subtract 8 from both sides:
- \( 12 - x + 8 = 0 \)
- \( 20 - x = 0 \)
- This does not match the original equation.

4. **12 = −x + 8**
- If we subtract 8 from both sides:
- \( 12 - 8 = -x \)
- \( 4 = -x \)
- This can be rewritten to \( x = -4 \), so it behaves correctly.

Looking closely, the correct equation that Tillie is solving, such that subtracting 8 from both sides is necessary, is:
**12 = −x + 8**.

Therefore, the correct response is **12 = −x + 8**.