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

[BTGModeratorVI]

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

[Brent@GMATPrepNow]

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

[swerve]

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

[Scott@TargetTestPrep]

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