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

1 answer

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.