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37 votes
37 votes
For what value of x is 3 − x equal to x − 3?

User Boa
by
2.8k points

2 Answers

18 votes
18 votes

Answer: 3

Step-by-step explanation: The only value for x in which 3 - x is the same as x - 3 is where x does not affect the value of 3 whatsoever. We can also set this up algebraically to find this out algebraically.

x - 3 = 3 - x

Adding 3 to both sides, we have

x = 6 - x

Adding x to both sides we have

2x = 6

Dividing by 2 from both sides, we get

x = 3

User Roberto Reale
by
2.4k points
24 votes
24 votes

Answer:

x = 3

Explanation:

Given the information from the question, we can deduce that:

3 - x = x - 3

Now our goal here is to find x.

3 - x = x -3

3 - x - 3 = x - 3 - 3

- x = x - 6

- x - x = x - 6 - x

- 2x = - 6

x =
(-6)/(-2) = 3

User IKnowNothing
by
3.0k points