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# x = 3x/2 − 1. What is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 52431
x = 3x/2 − 1. What is the value of x?  [#permalink]

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13 May 2018, 20:26
00:00

Difficulty:

15% (low)

Question Stats:

80% (00:40) correct 20% (00:43) wrong based on 49 sessions

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x = 3x/2 − 1. What is the value of x?

A. 1/2

B. 2/3

C. 1

D. 3/2

E. 2

_________________
Manager
Joined: 05 Jan 2014
Posts: 71
Location: India
GMAT 1: 610 Q47 V26
GPA: 3.76
WE: Information Technology (Computer Software)
Re: x = 3x/2 − 1. What is the value of x?  [#permalink]

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13 May 2018, 20:30
x = 3x/2 − 1 or (3*x/2 - x) = 1 or x/2 = 1 or x = 2
MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1962
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
x = 3x/2 − 1. What is the value of x?  [#permalink]

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Updated on: 14 Jul 2018, 18:50
1
$$x = \frac{3x}{2}-1$$

$$x+1 = \frac{3x}{2}$$

$$2x + 2 = 3x$$

$$x=2$$

Hence option E
_________________

Originally posted by workout on 13 May 2018, 21:21.
Last edited by workout on 14 Jul 2018, 18:50, edited 1 time in total.
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: x = 3x/2 − 1. What is the value of x?  [#permalink]

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14 Jul 2018, 18:18
Bunuel wrote:
x = 3x/2 − 1. What is the value of x?

A. 1/2

B. 2/3

C. 1

D. 3/2

E. 2

Multiplying both sides by 2, we have:

2x = 3x - 2

2 = x

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Re: x = 3x/2 − 1. What is the value of x? &nbs [#permalink] 14 Jul 2018, 18:18
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