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

Question

What is the solution to the equation  −4(x − 8) =−32
  when solving for  x
 ?

GPT-4o mini · Answer

To solve the equation $-4(x - 8) = -32$ for $x$, follow these steps: 1. **Distribute the -4** on the left side of the equation: $$ -4 \cdot x + 4 \cdot 8 = -32 $$ Simplifying that gives: $$ -4x + 32 = -32 $$ 2. **Isolate the term with $x$** by subtracting 32 from both sides: $$ -4x + 32 - 32 = -32 - 32 $$ This results in: $$ -4x = -64 $$ 3. **Divide by -4** to solve for $x$: $$ x = \frac{-64}{-4} $$ Simplifying that gives: $$ x = 16 $$ Thus, the solution to the equation is $x = 16$.