Solve for x.

Question

- x / 4 - 2 = -10
A. x = 32
B. x = -2
C. x = 48
D. x = 3

Answer 1

To solve the equation \(- \frac{x}{4} - 2 = -10\), we can 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 to get rid of the negative sign: \[ \frac{x}{4} = 8 \]

3. Multiply both sides by 4 to solve for \(x\): \[ x = 8 \cdot 4 \] This simplifies to: \[ x = 32 \]

The solution is \(x = 32\), which corresponds to option A.