2
algebra

If 2x5=152x - 5 = 15, what is the value of xx?

A

10

B

20

C

5

D

40

Correct Answer: A

Choice Ahoice D is the correct answer.

  1. Start with the equation: 2x5=152x - 5 = 15
  2. Add 5 to both sides: 2x=15+52x = 15 + 5
  3. Simplify: 2x=202x = 20
  4. Divide both sides by 2: x=202x = \frac{20}{2}
  5. Simplify: x=10x = 10
  6. Verify: 2(10)5=205=152(10) - 5 = 20 - 5 = 15

Choice Ahoice B is incorrect because this results from subtracting 5 from 15: 1010, then 10/2=510/2 = 5. We must add to undo subtraction.

Choice Ahoice C is incorrect because this is the value of 2x2x. Don't stop early!

Choice Ahoice C is incorrect because this results from multiplying 20 by 2: 4040.