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

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by BTGModeratorVI » Tue Mar 03, 2020 6:39 am

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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

Answer: A
Source: Official Guide
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Re: If 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum

by Jay@ManhattanReview » Tue Mar 03, 2020 10:07 pm
BTGModeratorVI wrote: ↑
Tue Mar 03, 2020 6:39 am
 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

Answer: A
Source: Official Guide
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Re: If 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum

by Brent@GMATPrepNow » Mon Mar 09, 2020 6:11 am
BTGModeratorVI wrote: ↑
Tue Mar 03, 2020 6:39 am
 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

Answer: A
Source: Official Guide
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 the sum

by Scott@TargetTestPrep » Wed Mar 11, 2020 9:42 am
BTGModeratorVI wrote: ↑
Tue Mar 03, 2020 6:39 am
 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

Answer: A
Source: Official Guide
When we subtract 2 from 5x, we get 5x - 2 and 1/2 of this is (5x - 2)/2. We are given that this expression is equal to 3x + 10, thus:

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

5x - 2 = 6x + 20

x = -22

Answer: A

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