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)
Responses

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

12 − x = 8
12 minus x equals 8

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

12 = −x − 8

Answer 1

To determine which equation Tillie is solving, we need to analyze her first step of subtracting 8 from both sides.

Let's consider each of the provided options:

1. 12 = −x + 8

   • If we subtract 8 from both sides, we would get:
     • 12 - 8 = -x + 8 - 8
     • 4 = -x, which is a valid step based on the operation.

2. 12 − x = 8

   • If we subtract 8 from both sides, we would get:
     • 12 - x - 8 = 8 - 8
     • 4 - x = 0, which also results from the operation.

3. 12 − x = −8

   • If we subtract 8 from both sides, we would get:
     • 12 - x - 8 = -8 - 8
     • 4 - x = -16, which does not seem like a relevant operation in this context.

4. 12 = −x − 8

   • If we subtract 8 from both sides, we would get:
     • 12 - 8 = -x - 8
     • 4 = -x - 8, which makes sense as the resulting equation.

The key aspect here is that after subtracting 8, the first equation (12 = -x + 8) and the second equation (12 - x = 8) match with the expected operations.

However, based on standard formulation and operations, 12 = -x + 8 seems like the most fitting choice since it is a straightforward equation where subtracting 8 produces a clean equation setup.

So the correct answer is 12 = −x + 8.