If 1/2 the result obtained when 2 is subtracted from 5x

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Sun Sep 27, 2020 7:01 am

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If 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x, what is the value of x ?

A. –22
B. –4
C. 4
D. 18
E. 22

Answer: A
Source: Official guide

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: If 1/2 the result obtained when 2 is subtracted from 5x

by Brent@GMATPrepNow » Fri Oct 02, 2020 4:48 am

BTGModeratorVI wrote: ↑
Sun Sep 27, 2020 7:01 am
If 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x, what is the value of x ?

A. –22
B. –4
C. 4
D. 18
E. 22

Answer: A
Source: Official guide

1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x
We can write: (1/2)(5x - 2) = 3x + 10
Multiply both sides by 2 to get: 5x - 2 = 6x + 20
Add 2 to both sides to get: 5x = 6x + 22
Subtract 6x from both sides to get: -x = 22
Divide both sides by -1 to get: x = -22

Answer: A

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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swerve: Legendary Member; Posts: 2545; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: If 1/2 the result obtained when 2 is subtracted from 5x

by swerve » Fri Oct 02, 2020 9:17 am

BTGModeratorVI wrote: ↑
Sun Sep 27, 2020 7:01 am
If 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x, what is the value of x ?

A. –22
B. –4
C. 4
D. 18
E. 22

Answer: A
Source: Official guide

Here,

\begin{align*}
\dfrac{1}{2}(5x-2) &=10+3x \\
5x-2 &=20+6x \\
-2-22 &=6x-5x \\
-22 &= x
\end{align*}

Therefore, A

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8155; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: If 1/2 the result obtained when 2 is subtracted from 5x

by Scott@TargetTestPrep » Mon Oct 05, 2020 6:50 am

BTGModeratorVI wrote: ↑
Sun Sep 27, 2020 7:01 am
If 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x, what is the value of x ?

A. –22
B. –4
C. 4
D. 18
E. 22

Answer: A
Source: Official guide

Solution:

We can create the equation:

1/2(5x - 2) = 10 + 3x

5x - 2 = 2(10 + 3x)

5x - 2 = 20 + 6x

-x = 22

x = -22

Answer: A

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