To determine which equation Tillie is solving when she subtracts 8 from both sides, we need to analyze each option:
-
12 - x = -8
- Starting with this equation:
\( 12 - x = -8 \)
Subtracting 8 from both sides:
\( 12 - x - 8 = -8 - 8 \)
Which simplifies to:
\( 4 - x = -16 \)
- Starting with this equation:
-
12 = -x - 8
- Starting with this equation:
\( 12 = -x - 8 \)
Subtracting 8 from both sides:
\( 12 - 8 = -x - 8 \)
Which simplifies to:
\( 4 = -x - 8 \)
- Starting with this equation:
-
12 - x = 8
- Starting with this equation:
\( 12 - x = 8 \)
Subtracting 8 from both sides:
\( 12 - x - 8 = 8 - 8 \)
Which simplifies to:
\( 4 - x = 0 \)
- Starting with this equation:
-
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.
- Starting with this equation:
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.