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

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

Originally posted by BrentGMATPrepNow on 08 Jul 2017, 07:34.
Last edited by BrentGMATPrepNow on 28 Dec 2019, 07:34, edited 1 time in total.
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Re: x/2 − 5 = x − 23. What is the value of x? [#permalink]
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]

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]
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]
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]
1
Kudos
Top Contributor
Given that $$\frac{x}{2} − 5 = x − 23$$ and we need to find the value of x

$$\frac{x}{2} − 5 = x − 23$$

Multiplying both the sides by 2 we get

x - 2*5 = 2*x - 2*23 = 2x - 46
=> x - 10 = 2x - 46
=> 2x - x = 46 - 10 = 36
=> x = 36