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

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

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13 May 2018, 21:26
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Difficulty:

15% (low)

Question Stats:

85% (00:33) correct 15% (00:39) wrong based on 47 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

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Re: x = 3x/2 − 1. What is the value of x?  [#permalink]

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13 May 2018, 21:30
x = 3x/2 − 1 or (3*x/2 - x) = 1 or x/2 = 1 or x = 2
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x = 3x/2 − 1. What is the value of x?  [#permalink]

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Updated on: 14 Jul 2018, 19:50
$$x = \frac{3x}{2}-1$$

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

$$2x + 2 = 3x$$

$$x=2$$

Hence option E
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Originally posted by workout on 13 May 2018, 22:21.
Last edited by workout on 14 Jul 2018, 19:50, edited 1 time in total.
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Re: x = 3x/2 − 1. What is the value of x?  [#permalink]

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14 Jul 2018, 19:18
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, 19:18
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