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

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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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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

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Brent
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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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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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