This question-specific review guide is tied to the answer reasoning for a PracticeTestVault item. Use it after you answer the question so the review stays focused on what the prompt actually tested.
What this question is testing
Objective: Solve linear equations
Prompt focus: Solve for x: 3(x – 4) = 2x + 5
Why the correct answer works
x = 17
Distributing and isolating x gives 3x minus 12 equals 2x plus 5, which solves to x equals 17.
Why the tempting wrong answer fails
Incorrect. This results from failing to fully distribute the 3 across both terms.
Plain-language takeaway
Distribute the left side to get 3x minus 12 equals 2x plus 5. Subtract 2x from both sides to get x minus 12 equals 5, then add 12 to both sides to find x equals 17.
Simple analogy
Think of solve linear equations like following a short checklist: identify the clue, confirm the rule, and then make the move that fits this exact scenario.
How to review it before a retake
- Underline the command word and name what the question is asking before rereading the choices.
- Compare the correct answer against the closest distractor and write the exact detail that separates them.
- Retest this objective with a fresh question without looking at the rationale first.