−x4−2=−10

Question

−
x
4
−
2
=
−
10
(1 point)
Responses

x=3
x
=
3
x equals 3

x=32
x
=
32
x equals 32

x=48
x
=
48
x equals 48

x=−2

Answer 1

To solve the equation \(-\frac{x}{4} - 2 = -10\), let's follow these steps:

1. Add 2 to both sides: \[ -\frac{x}{4} - 2 + 2 = -10 + 2 \] This simplifies to: \[ -\frac{x}{4} = -8 \]

2. Multiply both sides by -1: \[ \frac{x}{4} = 8 \]

3. Multiply both sides by 4: \[ x = 32 \]

So the solution is \(x = 32\).

Thus, the correct response is:

• \(x = 32\) (x equals 32).