Question

Solve the equation for x.

1/4(2x + 8) = –16
A)
-18
B)
-24
D
-28
D)
-36

Answer 1

D

Explanation:

Given

`(1)/(4)` (2x + 8) = - 16

Multiply both sides by 4 to clear the fraction

2x + 8 = - 64 ( subtract 8 from both sides )

2x = - 72 ( divide both sides by 2 )

x = - 36

Answer 2

The answer is option D

Explanation:

`(1)/(4) (2x + 8) = - 16`

First multiply through by 4

That's

`4 * (1)/(4)(2x + 8) = - 16 * 4 \\ 2x + 8 = - 64`

Subtract 8 from both sides

We have

`2x + 8 - 8 = - 64 - 8 \\ 2x = - 72`

Divide both sides by 2

That's

`(2x)/(2) = - (72)/(2)`

We have the final answer as

x = - 36

Hope this helps you