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If 2 + 2/x = 3 - 3/x , then x =
  • a)
    -5
  • b)
    2/3
  • c)
    1
  • d)
    3/2
  • e)
    5
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
If 2 +2/x= 3 -3/x, then x =a)-5b)2/3c)1d)3/2e)5Correct answer is optio...
Step 1: Analyze the Question
This question gives us a complicated-looking equation with one variable. The answer choices are just numbers. 

Step 2: State the Task
Our task is to solve for the value of x

Step 3: Approach Strategically
Since the answer choices are potential values for the variable in the equation, we could just plug those values back in to see which value makes the equation true. Backsolving is an option whenever you can manageably plug an answer choice into the question stem. Let's say that you started with (D), x = 3/2 That makes the equation:

That's not a true statement. So we need to try other values. It's very hard to see whether you needed a larger or smaller x, so it's perfectly fine to try different answer choices. (C) is a sensible choice to test next, as it's the most manageable. It would leave you with 2 + 2 = 3 - 3, which is also false. (E) is the next most manageable. Plugging 5 in for x makes the equation

Step 4: Confirm Your Answer 
Reread the original equation, making sure you didn't make a careless error such as switching the plus and minus signs
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If 2 +2/x= 3 -3/x, then x =a)-5b)2/3c)1d)3/2e)5Correct answer is option 'E'. Can you explain this answer?
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