To find the equation that Tillie is solving, we need to analyze how subtracting 8 from both sides affects the equation.
If Tillie subtracts 8 from both sides of the equation, we can represent the original equation as:
\[ A = B \]
After subtracting 8 from both sides, we get:
\[ A - 8 = B - 8 \]
Now let's examine the provided options to see which one can lead to a scenario where subtracting 8 allows for x to be solved:
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12 − x = −8
If we subtract 8 from both sides, we get: \[ 12 - x - 8 = -8 - 8 \] which simplifies to: \[ 4 - x = -16 \] -
12 = −x + 8
If we subtract 8 from both sides, we get: \[ 12 - 8 = -x + 8 - 8 \] which simplifies to: \[ 4 = -x \] -
12 − x = 8
If we subtract 8 from both sides, we get: \[ 12 - x - 8 = 8 - 8 \] which simplifies to: \[ 4 - x = 0 \] (This could also lead to solving \( x = 4 \).) -
12 = −x − 8
If we subtract 8 from both sides, we get: \[ 12 - 8 = -x - 8 - 8 \] which simplifies to: \[ 4 = -x - 16 \]
The equation that Tillie could be solving that allows her to apply the step of subtracting 8 from both sides and continues the solution process smoothly is:
12 = −x + 8.
Thus, the answer is 12 = −x + 8.
3 answers