-6(3x - 2) = 4 is equivalent to
Question Blank 1 of 2
-18x
+
Question Blank 2 of 2
choose your answer...
= 4

Let's solve the equation step by step to determine the equivalent expression.

Given the equation:
\[
-6(3x - 2) = 4
\]

1. Distribute \(-6\) across the terms inside the parentheses:
\[
-6 \times 3x + (-6) \times (-2) = 4
\]
\[
-18x + 12 = 4
\]

2. Therefore, the equation is equivalent to:
\[
-18x + 12 = 4
\]

**Answer for the blanks:**

- **Blank 1:** \(-18x\)
- **Blank 2:** \(+12\)

Let me know if you need further details or have any questions.

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Here are five related questions for further practice:
1. Solve \(-6(4x - 5) = 8\) for \(x\).
2. What is the solution to \(2(5x - 3) = 12\)?
3. Expand and simplify \(-7(2x + 1)\).
4. If \(-4(3x - 2) = -8\), what is the value of \(x\)?
5. Simplify and solve \(5 - 3(2x + 4) = 1\).

**Tip:** When distributing a negative number, remember to distribute it to both terms inside the parentheses.

Explore how to solve equations involving distribution using the example -6(3x - 2) = 4. This problem demonstrates the application of the distributive property in algebraic equations. Suitable for students in Grades 7-9.

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