If \(3x – t = t + 5x,\) what is the value of \(x?\)

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Vincen wrote:
Mon May 18, 2020 6:09 am
If \(3x – t = t + 5x,\) what is the value of \(x?\)

(1) \(t = 4.\)
(2) \(x < 0.\)

[spoiler]OA=A[/spoiler]

Source: GMAT Prep
Given: 3x – t = t + 5x

Target question: What is the value of x ?

Statement 1: t = 4
Take: 3x – t = t + 5x
Replace t with 4 to get: 3x – 4 = 4 + 5x
When we solve this equation, we get x = -4
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x < 0
If x < 0, then x can have infinitely-many different values
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer: A

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