6
algebra

If x8=3x - 8 = -3, what is the value of xx?

A

-5

B

-11

C

5

D

11

Correct Answer: C

Choice Ahoice C is the correct answer. Even when the result is negative, we use the same inverse operation strategy.

  1. Start with the equation: x8=3x - 8 = -3
  2. Add 8 to both sides: x=3+8x = -3 + 8
  3. Calculate: x=5x = 5
  4. Verify: 58=35 - 8 = -3

This problem shows that even when we see negative numbers, the solving process remains the same: add to undo subtraction.

💡 Working with Negatives: When adding a positive to a negative, think of it as 3+8=83=5-3 + 8 = 8 - 3 = 5.

Choice Ahoice D is incorrect because this results from adding 8 to 3 (using the absolute value): 3+8=113 + 8 = 11. This ignores the negative sign.

Choice Ahoice D is incorrect because this might come from subtracting instead of adding: 38=11-3 - 8 = -11. This applies subtraction twice.

Choice Ahoice C is incorrect because this is the negative of the correct answer. Some students might calculate correctly but then mistakenly apply a negative sign.