SAT Math · Linear equations in one variable · medium

If 2(3x-1)+7 = 23, what is the value of 3x - 1?

If 2(3x−1)+7=232(3x-1)+7 = 23, what is the value of 3x−13x - 1?

Answer and explanation

Answer: 8

The question asks for the value of the grouped expression 3x−13x - 1, so there is no need to solve for xx. Subtract 7 from both sides of 2(3x−1)+7=232(3x - 1) + 7 = 23 to get 2(3x−1)=162(3x - 1) = 16. Divide by 2: 3x−1=83x - 1 = 8. Check by solving for xx: 3x=93x = 9 and x=3x = 3, and 2(8)+7=232(8) + 7 = 23. A common wrong answer is 3, which is xx itself and not the expression asked about. Another is 16, from stopping one step early. Re-read the question.

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