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If x − 1 = 2x/3, what is the value of x ?

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Expert Post
Math Expert
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V
Joined: 02 Sep 2009
Posts: 45302
If x − 1 = 2x/3, what is the value of x ? [#permalink]

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New post 13 May 2018, 21:27
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

91% (00:16) correct 9% (01:32) wrong based on 33 sessions

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Intern
Intern
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B
Joined: 05 Jan 2014
Posts: 43
GMAT 1: 610 Q47 V26
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: If x − 1 = 2x/3, what is the value of x ? [#permalink]

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New post 13 May 2018, 21:32
x − 1 = 2x/3 or (x - 2*x/3) = 1 or x/3 = 1 or x = 3
Expert Post
e-GMAT Representative
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G
Joined: 04 Jan 2015
Posts: 1215
If x − 1 = 2x/3, what is the value of x ? [#permalink]

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New post 13 May 2018, 22:47

Solution



Given:
• x − 1 = \(\frac{2x}{3}\)

To find:
• The value of x that satisfies the given equation

Approach and Working:
• x − 1 = \(\frac{2x}{3}\)
    Or, x – \(\frac{2x}{3}\) = 1
    Or, \(\frac{x}{3}\) = 1
    Or, x = 1 * 3 = 3

Hence, the correct answer is option E.

Answer: E

Note: without solving one can also get the answer by checking with the options, but in some cases that approach may take longer than original
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If x − 1 = 2x/3, what is the value of x ?   [#permalink] 13 May 2018, 22:47
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If x − 1 = 2x/3, what is the value of x ?

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