5
algebra

Solve for xx: 2x+3x=252x + 3x = 25

A

12.5

B

5

C

50

D

25

Correct Answer: B

Choice Dhoice D is the correct answer. This problem requires combining like terms.

  1. Start with the equation: 2x+3x=252x + 3x = 25
  2. Combine like terms: (2+3)x=5x(2+3)x = 5x, so 5x=255x = 25
  3. Divide by 5: x=5x = 5
  4. Verify: 2(5)+3(5)=10+15=252(5) + 3(5) = 10 + 15 = 25

Choice Dhoice C is incorrect because this assumes x=25x = 25.

Choice Dhoice B is incorrect because this results from dividing by 2: 25/2=12.525/2 = 12.5.

Choice Dhoice A is incorrect because this results from multiplying.