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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?(1 point)
Responses

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

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

12 − x = 8
12 minus x equals 8

12 − x = −8

1 answer

Tillie is solving an equation where her first step is to subtract 8 from both sides. To determine which equation she is solving, we need to look for an equation where subtracting 8 gives a result that makes sense.

Let's examine each option:

  1. 12 = −x + 8: If we subtract 8 from both sides, we'd get 12 - 8 = -x, which simplifies to 4 = -x.

  2. 12 = −x − 8: If we subtract 8 from both sides, we'd get 12 - 8 = -x - 8, which simplifies to 4 = -x - 8, not applicable for her first step.

  3. 12 − x = 8: If we subtract 8 from both sides, we get 12 - x - 8 = 0, which simplifies to 4 - x = 0, which works.

  4. 12 − x = −8: If we subtract 8 from both sides, we get 12 - x - 8 = -8, which simplifies to 4 - x = -8, not applicable for her first step.

The only valid option where subtracting 8 makes sense for her first step is:

12 − x = 8

So the answer is 12 − x = 8.