Let's solve the equation step by step:

The given equation is:

\[
(-2)(-3 \times 4) = 6x
\]

### Step 1: Simplify the left-hand side
First, calculate the expression inside the parentheses on the left side:

\[
-3 \times 4 = -12
\]

Now substitute that into the equation:

\[
(-2)(-12) = 6x
\]

### Step 2: Multiply the terms on the left side
\[
(-2) \times (-12) = 24
\]

So, the equation becomes:

\[
24 = 6x
\]

### Step 3: Solve for \( x \)
To isolate \( x \), divide both sides by 6:

\[
x = \frac{24}{6} = 4
\]

### Final Answer:
\[
x = 4
\]

Would you like more details or further explanation?

Here are 5 questions that can expand on this:
1. How do you handle negative signs when multiplying?
2. What happens when two negative numbers are multiplied together?
3. How would the equation change if one of the numbers was positive?
4. Can you solve a similar equation where \(x\) is on the left side?
5. What if \(x\) was in the denominator, how would you solve for \(x\)?

**Tip:** When multiplying two negative numbers, the result is always positive.

Discover how to solve the equation (-2)(-3*4) = 6x with a detailed step-by-step solution. Learn about multiplying negative numbers and isolating variables in algebraic equations. Suitable for students in Grades 6-8.

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