What is the solution to the equation −4(x − 8) =−32

Question

−
4
(
𝑥

−

8
)

=
−
32
when solving for x
𝑥
?(1 point)
Complete the statement: x =
𝑥

=.......

Answer 1

To solve the equation \(-4(x - 8) = -32\) for \(x\), follow these steps:

1. Distribute the \(-4\) on the left side: \[ -4x + 32 = -32 \]

2. Subtract \(32\) from both sides: \[ -4x = -32 - 32 \] \[ -4x = -64 \]

3. Divide both sides by \(-4\): \[ x = \frac{-64}{-4} \] \[ x = 16 \]

Thus, the solution to the equation is: \[ x = 16 \]