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Founder  Joined: 18 Apr 2015
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If 3(x + 2) = x — 4, then x = [#permalink]
Expert's post 00:00

Question Stats: 100% (00:17) correct 0% (00:00) wrong based on 25 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

_________________ VP Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1340  , given: 251

Re: If 3(x + 2) = x — 4, then x = [#permalink]
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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Kudos [?]: 4760  , given: 70

Re: If 3(x + 2) = x — 4, then x = [#permalink]
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: 3905
Followers: 163

Kudos [?]: 4760 , given: 70

Re: If 3(x + 2) = x — 4, then x = [#permalink]
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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