To solve the equation \( 2(3x + 9) \times 2 = 50 \), let's proceed step by step:

### Step 1: Simplify the left side of the equation.
First, distribute the 2 into the parentheses:
\[
2 \times (3x + 9) = 6x + 18
\]

Then multiply by 2:
\[
2 \times (6x + 18) = 12x + 36
\]

### Step 2: Set up the equation.
Now the equation becomes:
\[
12x + 36 = 50
\]

### Step 3: Solve for \( x \).
Subtract 36 from both sides:
\[
12x = 50 - 36
\]
\[
12x = 14
\]

Now, divide both sides by 12:
\[
x = \frac{14}{12} = \frac{7}{6}
\]

### Final Answer:
\[
x = \frac{7}{6}
\]

Would you like further details on any of the steps? 

Here are 5 related questions:
1. How would the equation change if the right side were different?
2. What is the effect of distributing over parentheses?
3. Can you solve the same equation if it had a negative term?
4. How can you check if \( x = \frac{7}{6} \) is correct?
5. How do you simplify fractions like \( \frac{14}{12} \)?

**Tip:** Always double-check your distribution when multiplying over parentheses!

Learn how to solve the linear equation 2(3x + 9) * 2 = 50 step by step. This problem demonstrates key algebraic concepts such as distribution and simplifying equations. Suitable for students in Grades 6-8.

Math Problem Statement

2(3x+9) 2

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