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If 1/2 the result obtained when 2 is subtracted from 5x is equal to th

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If 1/2 the result obtained when 2 is subtracted from 5x is equal to th  [#permalink]

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New post 26 Apr 2019, 05:57
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

73% (01:14) correct 27% (01:36) wrong based on 94 sessions

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Re: If 1/2 the result obtained when 2 is subtracted from 5x is equal to th  [#permalink]

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New post 26 Apr 2019, 08:47
Top Contributor
Bunuel wrote:
If 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x, what is the value of x ?

A. –22
B.  –4
C.  4
D.  18
E.  22


1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x
We can write: (1/2)(5x - 2) = 3x + 10
Multiply both sides by 2 to get: 5x - 2 = 6x + 20
Add 2 to both sides to get: 5x = 6x + 22
Subtract 6x from both sides to get: -x = 22
Divide both sides by -1 to get: x = -22


Answer: A

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Re: If 1/2 the result obtained when 2 is subtracted from 5x is equal to th  [#permalink]

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New post 11 May 2019, 08:08
Here,
1/2(5x-2)=10+3x
=>5x-2=20+6x
=>-x=22
=>x=-22

Answer is A

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Re: If 1/2 the result obtained when 2 is subtracted from 5x is equal to th  [#permalink]

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New post 23 May 2019, 04:18

Solution


Given
In this question, we are given
    • 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x.

To Find
We need to determine
    • The value of x.

Approach & Working
1/2 the result obtained when 2 is subtracted from 5x = 1/2 (5x – 2)
Sum of 10 and 3x = (10 + 3x)
Therefore, as per the question,
    • 1/2 (5x – 2) = (10 + 3x)
    Or, 5x – 2 = 20 + 6x
    Or, x = -2 – 20 = -22

Hence, the correct answer is option A.

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Re: If 1/2 the result obtained when 2 is subtracted from 5x is equal to th  [#permalink]

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New post 23 May 2019, 04:27
Bunuel wrote:
If 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x, what is the value of x ?

A. –22
B.  –4
C.  4
D.  18
E.  22


PS67502.01
Quantitative Review 2020 NEW QUESTION


(1/2)*(5x-2) = (10+3x)

x= -22. A
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Re: If 1/2 the result obtained when 2 is subtracted from 5x is equal to th  [#permalink]

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New post 23 May 2019, 17:19
Bunuel wrote:
If 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x, what is the value of x ?

A. –22
B.  –4
C.  4
D.  18
E.  22


PS67502.01
Quantitative Review 2020 NEW QUESTION


We can create the equation:

1/2(5x - 2) = 10 + 3x

5x - 2 = 2(10 + 3x)

5x - 2 = 20 + 6x

-x = 22

x = -22

Answer: A
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Re: If 1/2 the result obtained when 2 is subtracted from 5x is equal to th   [#permalink] 23 May 2019, 17:19
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