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# If 3(x + 2) = x — 4, then x =

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If 3(x + 2) = x — 4, then x = [#permalink]  26 Aug 2018, 03:07
Expert's post
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Question Stats:

100% (00:23) correct 0% (00:00) wrong based on 4 sessions
If 3(x + 2) = x — 4, then x =

(A) —5

(B) —3

(C) 1

(D) 3

(E) 5

Kudos for R.A.E
[Reveal] Spoiler: OA

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Director
Joined: 20 Apr 2016
Posts: 758
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Kudos [?]: 514 [1] , given: 94

Re: If 3(x + 2) = x — 4, then x = [#permalink]  26 Aug 2018, 04:44
1
KUDOS
Carcass wrote:
If 3(x + 2) = x — 4, then x =

(A) —5

(B) —3

(C) 1

(D) 3

(E) 5

Kudos for R.A.E

$$3(x + 2) = x — 4$$

or $$3x + 6 = x - 4$$

or $$2x = -10$$

or$$x = -5$$
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GRE Instructor
Joined: 10 Apr 2015
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Kudos [?]: 1131 [1] , given: 7

Re: If 3(x + 2) = x — 4, then x = [#permalink]  27 Aug 2018, 06:01
1
KUDOS
Expert's post
Carcass wrote:
If 3(x + 2) = x — 4, then x =

(A) —5
(B) —3
(C) 1
(D) 3
(E) 5

Given: 3(x + 2) = x — 4
Expand left side: 3x + 6 = x - 4
Subtract x from both sides: 2x + 6 = -4
Subtract 6 from both sides: 2x = -10
Divide both sides by 2 to get: x = -5

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

GRE Instructor
Joined: 10 Apr 2015
Posts: 1242
Followers: 46

Kudos [?]: 1131 [0], given: 7

Re: If 3(x + 2) = x — 4, then x = [#permalink]  27 Aug 2018, 06:04
Expert's post
Carcass wrote:
If 3(x + 2) = x — 4, then x =

(A) —5

(B) —3

(C) 1

(D) 3

(E) 5

Kudos for R.A.E

Alternatively, we can test the answer choices by plugging the x-values into the given equation.

(A) —5
Let's take the given equation and replace x with -5
We get: 3(-5 + 2) = -5 — 4
Evaluate the part in the brackets to get: 3(-3) = -5 — 4
Evaluate both quantities: -9 = -9
Perfect - it works!!

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: If 3(x + 2) = x — 4, then x =   [#permalink] 27 Aug 2018, 06:04
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