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 \(-4(x - 8) = -32\), we can follow these steps:

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

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

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

So, the solution to the equation is: \[ \text{x = 16} \]