Tillie is solving an equation for x

Question

. Her first step is to subtract 8 from both sides of the equation. Which equation is she solving?(1 point)

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

12 = −x + 8
12 equals negative x plus 8

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

12 − x = 8

Answer 1

To determine which equation Tillie is solving by subtracting 8 from both sides, we can analyze each of the given equations:

1. 12 = −x − 8
   Adding 8 to both sides would result in:
   \(12 + 8 = -x\)
   \(20 = -x\)

2. 12 = −x + 8
   Subtracting 8 from both sides would result in:
   \(12 - 8 = -x\)
   \(4 = -x\)

3. 12 − x = −8
   Adding x to both sides and then adding 8 to both sides would lead to:
   \(12 = -8 + x\)
   Which does not involve subtracting 8 from both sides initially.

4. 12 − x = 8
   Adding x to both sides and subtracting 8 would result in:
   \(12 - 8 = x\)
   \(4 = x\)

From this analysis, the equation that she is solving, where her first step involved subtracting 8 from both sides, is:

12 = −x + 8

Thus, after subtracting 8 from both sides, she would have:

4 = -x