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If 12x - 4 = 20, then 4x - 1 =

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Director
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If 12x - 4 = 20, then 4x - 1 = [#permalink] New post 20 Feb 2018, 02:13
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If 12x - 4 = 20, then 4x - 1 =

A)1
B)2
C)5
D)7
E)24
[Reveal] Spoiler: OA
GRE Instructor
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Re: If 12x - 4 = 20, then 4x - 1 = [#permalink] New post 20 Feb 2018, 15:00
Expert's post
amorphous wrote:
If 12x - 4 = 20, then 4x - 1 =

A)1
B)2
C)5
D)7
E)24


APPROACH #1: Solve for x first
Given: 12x - 4 = 20
Add 4 to both sides to get: 12x = 24
Solve to get: x = 2

So, 4x - 1 = 4(2) - 1
= 8 - 1
= 7
Answer: D


APPROACH #2: Make the given equation resemble the expression 4x - 1
Given: 12x - 4 = 20
Add 4 to both sides to get: 12x = 24
Divide both sides by 3 to get: 4x = 8
Subtract 1 from both sides to get: 4x - 1 = 8 - 1
Simplify: 4x - 1 = 7
Answer: D

Cheers,
Brent
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Re: If 12x - 4 = 20, then 4x - 1 =   [#permalink] 20 Feb 2018, 15:00
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