To solve the equation \( -4 \times x \times -8 = -8 \times x \times 16 \), let's simplify both sides step by step.

### Step 1: Simplify each side of the equation.

On the left side:
\[
-4 \times -8 \times x = 32x
\]

On the right side:
\[
-8 \times 16 \times x = -128x
\]

So, the equation simplifies to:
\[
32x = -128x
\]

### Step 2: Add \( 128x \) to both sides to combine like terms.
\[
32x + 128x = 0
\]
\[
160x = 0
\]

### Step 3: Divide both sides by 160 to solve for \( x \).
\[
x = \frac{0}{160}
\]
\[
x = 0
\]

So, the solution is \( x = 0 \).

Would you like further details or have any questions?

Here are some related questions for practice:

1. Solve \( -3x \times -7 = 2x \times -21 \).
2. Solve \( -5x \times 6 = 10x \times -3 \).
3. Solve \( -9x \times -4 = -12x \times 3 \).
4. Simplify \( 7x \times -2 \times -5 = 35x \times 2 \).
5. Solve \( 2x \times 10 = -4x \times -5 \).
6. Solve \( -6x \times -9 = 3x \times 18 \).
7. Solve \( 8x \times -11 = -16x \times 5.5 \).
8. Simplify \( -7x \times 14 = -98x \).

**Tip:** When multiplying or dividing by a negative number, be mindful of the sign changes in the equation.

Learn how to solve the equation -4x - 8 = -8x + 16 step by step with detailed explanations and examples. This problem covers basic equation solving and simplification techniques. Suitable for students in Grades 6-8.

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