PSAT Math Multiple-Choice Question 605: Answer and Explanation

Question: 605

What is the value of x?

• A.
• B.
• C.
• D.

Correct Answer: B

Explanation:

(B) To combine the x-terms, you need a common denominator, 6. To combine the constant terms, you also need a common denominator, 27:

To get all x-terms on the left, subtract from both sides:

Next, add to both sides to get all constants on the right:

Finally, divide both sides by (which is the same thing as multiplying both sides by ) to solve for x:

This matches choice (B).