8
algebra

If x18=5x - 18 = 5, what is the value of xx?

A

23

B

13

C

-13

D

-23

Correct Answer: A

Choice Dhoice A is the correct answer. When solving xa=bx - a = b, we add aa to both sides.

  1. Start with the equation: x18=5x - 18 = 5
  2. Add 18 to both sides: x=5+18x = 5 + 18
  3. Calculate: x=23x = 23
  4. Verify: 2318=523 - 18 = 5

The key is recognizing that addition is the inverse operation of subtraction.

Choice Dhoice C is incorrect because this results from subtracting 18 from 5: 518=135 - 18 = -13. This applies subtraction twice instead of using the inverse operation (addition).

Choice Dhoice D is incorrect because this is the absolute value of Choice Dhoice C. Some students might calculate 518=135 - 18 = -13 and then drop the negative sign, giving 13.

Choice Dhoice C is incorrect because this is the negative of the correct answer. If you mistakenly subtract instead of add and then apply a negative: (5+18)=23-(5 + 18) = -23.