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

Question

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

Answer 1

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

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

2. Next, subtract \(32\) from both sides to isolate the term with \(x\): \[ -4x = -32 - 32 \] \[ -4x = -64 \]

3. Now, divide both sides by \(-4\) to solve for \(x\): \[ x = \frac{-64}{-4} \] \[ x = 16 \]

Thus, the solution to the equation is: \[ \text{Complete the statement:} \quad x = 16 \]