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# x/2 − 5 = x − 23. What is the value of x?

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Joined: 02 Sep 2009
Posts: 54371
x/2 − 5 = x − 23. What is the value of x?  [#permalink]

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08 Jul 2017, 05:35
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Difficulty:

5% (low)

Question Stats:

96% (00:35) correct 4% (01:26) wrong based on 110 sessions

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$$\frac{x}{2} − 5 = x − 23$$. What is the value of x?

A. 9
B. 13
C. 18
D. 28
E. 36

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Re: x/2 − 5 = x − 23. What is the value of x?  [#permalink]

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08 Jul 2017, 05:56
Bunuel wrote:
$$\frac{x}{2} − 5 = x − 23$$. What is the value of x?

A. 9
B. 13
C. 18
D. 28
E. 36

$$\frac{x}{2} − 5 = x − 23$$

$$x-\frac{x}{2} = 23-5$$

$$\frac{2x-x}{2} = 18$$

$$x = 18 * 2 = 36$$

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x/2 − 5 = x − 23. What is the value of x?  [#permalink]

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08 Jul 2017, 07:15
Bunuel wrote:
$$\frac{x}{2} − 5 = x − 23$$. What is the value of x?

A. 9
B. 13
C. 18
D. 28
E. 36

$$\frac{x}{2} − 5 = x − 23$$

x - 10 = 2x - 46

x = 36

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Re: x/2 − 5 = x − 23. What is the value of x?  [#permalink]

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08 Jul 2017, 07:34
Top Contributor
Bunuel wrote:
$$\frac{x}{2} − 5 = x − 23$$. What is the value of x?

A. 9
B. 13
C. 18
D. 28
E. 36

Given: x/2 - 5 = x - 23
Eliminate the fraction by multiplying both sides by 2 to get: x - 10 = 2x - 46
Subtract x from both sides: -10 = x - 46
Add 46 to both sides: 36 = x

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Re: x/2 − 5 = x − 23. What is the value of x?  [#permalink]

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09 Jul 2017, 07:20
x/2 - 5 = x-23

-x/2 = -18
x = 36

ans E
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Re: x/2 − 5 = x − 23. What is the value of x?  [#permalink]

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13 Jul 2017, 06:09

x-10=2x-46
x=36

Is this question a 600-700 level question? I found this question in 600-700 level category but it seems to be pretty straightforward.
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Re: x/2 − 5 = x − 23. What is the value of x?  [#permalink]

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14 Jul 2017, 06:26
Bunuel wrote:
$$\frac{x}{2} − 5 = x − 23$$. What is the value of x?

A. 9
B. 13
C. 18
D. 28
E. 36

Time Taken:0:32
x/2-5=x-23
multiply whole equation by 2
x-10=2x-46
-10+46=2x-x
36=x
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Re: x/2 − 5 = x − 23. What is the value of x?  [#permalink]

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16 Jul 2017, 17:27
Bunuel wrote:
$$\frac{x}{2} − 5 = x − 23$$. What is the value of x?

A. 9
B. 13
C. 18
D. 28
E. 36

We can simplify the given equation:

x/2 - 5 = x - 23

x/2 + 18 = x

Multiplying by 2, we have:

x + 36 = 2x

36 = x

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Re: x/2 − 5 = x − 23. What is the value of x?   [#permalink] 16 Jul 2017, 17:27
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