8
algebra

A number is such that 3 times the sum of the number and 2 is equal to 4 times the number minus 5. What is the number?

A

11

B

10

C

12

D

1

Correct Answer: A

Choice Choice A is the correct answer.

  1. Equation: 3(x+2)=4x53(x + 2) = 4x - 5
  2. Distribute: 3x+6=4x53x + 6 = 4x - 5
  3. Subtract 3x: 6=x56 = x - 5
  4. Add 5: 11=x11 = x

Choice Choice B is incorrect because calculation error.

Choice Choice C is incorrect because calculation error.

Choice Choice D is incorrect because calculation error.