Question

show steps to solve '

−8(2x+8) = −160

Answer 1

To solve the equation \(-8(2x + 8) = -160\), follow these steps:

1. **Distribute the \(-8\)** on the left side of the equation:
\[
-8 \cdot 2x - 8 \cdot 8 = -160
\]
This simplifies to:
\[
-16x - 64 = -160
\]

2. **Add 64 to both sides** to isolate the term with \(x\):
\[
-16x - 64 + 64 = -160 + 64
\]
This simplifies to:
\[
-16x = -96
\]

3. **Divide both sides by \(-16\)** to solve for \(x\):
\[
x = \frac{-96}{-16}
\]
This simplifies to:
\[
x = 6
\]

So the solution to the equation is:
\[
\boxed{6}
\]