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: Algebra
Prompt focus: Solve for x: 5x – 3 = 2x + 12.
Why the correct answer works
x = 5
Correct. Combining like terms gives 3x equals 15, so x equals 5.
Why the tempting wrong answer fails
Substituting 15 gives 72 on the left but 42 on the right, so it does not balance.
Plain-language takeaway
Subtract 2x from both sides to get 3x minus 3 equals 12. Add 3 to both sides to get 3x equals 15. Divide by 3 to find x equals 5.
Simple analogy
Think of algebra 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.