https://r2.erweima.ai/mathbot/image/1726620558762b98ofubt.jpg

Let's solve the equation shown in green:

\[
11x + 6 = 39
\]

### Step 1: Subtract 6 from both sides.
\[
11x + 6 - 6 = 39 - 6
\]
\[
11x = 33
\]

### Step 2: Divide both sides by 11.
\[
x = \frac{33}{11}
\]
\[
x = 3
\]

The solution to the equation is \( x = 3 \).

Would you like further explanation or have any questions?

Here are some related questions:
1. How can you check the solution of an equation?
2. What does it mean to "solve by undoing PEMDAS" in this context?
3. How would the steps differ if the variables were fractions?
4. What if you have negative numbers on both sides of the equation?
5. How do we handle equations with variables in denominators?

**Tip:** Always verify your solution by plugging the value of \(x\) back into the original equation to ensure it satisfies both sides.

This page provides a step-by-step solution to the linear equation 11x + 6 = 39. Learn how to subtract constants and divide coefficients to solve for x. Ideal for students in Grades 6-8.

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