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 minus 8

12 − x = 8
12 minus x equals 8

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

12 = −x + 8

Answer 1

Tillie's first step is to subtract 8 from both sides of the equation.

Let’s analyze the given equations:

1. 12 = −x − 8

   • If we add 8 to both sides:
     • \( 12 + 8 = -x \)
     • \( 20 = -x \)
     • This is not what we started with.

2. 12 − x = 8

   • If we subtract 8 from both sides:
     • \( 12 - x - 8 = 0 \)
     • \( 4 - x = 0 \)
     • This does not match the original equation.

3. 12 − x = −8

   • If we subtract 8 from both sides:
     • \( 12 - x + 8 = 0 \)
     • \( 20 - x = 0 \)
     • This does not match the original equation.

4. 12 = −x + 8

   • If we subtract 8 from both sides:
     • \( 12 - 8 = -x \)
     • \( 4 = -x \)
     • This can be rewritten to \( x = -4 \), so it behaves correctly.

Looking closely, the correct equation that Tillie is solving, such that subtracting 8 from both sides is necessary, is: 12 = −x + 8.

Therefore, the correct response is 12 = −x + 8.