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

Question

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.