https://file.aiquickdraw.com/mathbot/file/1727805416370toh57d1h.jpg

The equation provided is:

\[
4(3x + 2) = 12
\]

Let's solve this step by step:

1. **Distribute** the \(4\) to both terms inside the parentheses:
   \[
   4 \times 3x + 4 \times 2 = 12
   \]
   Simplifying that:
   \[
   12x + 8 = 12
   \]

2. **Isolate the variable** by subtracting 8 from both sides:
   \[
   12x = 12 - 8
   \]
   Simplifying further:
   \[
   12x = 4
   \]

3. **Solve for** \(x\) by dividing both sides by 12:
   \[
   x = \frac{4}{12}
   \]
   Simplifying the fraction:
   \[
   x = \frac{1}{3}
   \]

Thus, the solution is \(x = \frac{1}{3}\).

Would you like more details on any step or have any questions?

Here are 5 related questions to explore further:
1. How do you solve equations with variables on both sides?
2. What happens when there are fractions in the equation?
3. How do you handle equations with multiple variables?
4. What is the method to solve quadratic equations?
5. How do you solve inequalities involving absolute values?

**Tip:** When solving equations, always simplify both sides as much as possible before isolating the variable.

Solve the following equation: 4(3x + 2) = 12

This page explains how to solve the linear equation 4(3x + 2) = 12 using the distributive property and step-by-step simplification. The solution process is aimed at students in Grades 6-8 and covers key algebraic concepts.

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