https://file.aiquickdraw.com/mathbot/file/17274288914493w3mn6bp.jpg

The equation in the image is:

\[
\frac{2x + 1}{3} = a
\]

Let's solve this equation for \(x\):

### Step-by-step solution:

1. **Multiply both sides by 3** to eliminate the denominator:
   \[
   2x + 1 = 3a
   \]

2. **Subtract 1 from both sides** to isolate the term with \(x\):
   \[
   2x = 3a - 1
   \]

3. **Divide both sides by 2** to solve for \(x\):
   \[
   x = \frac{3a - 1}{2}
   \]

Thus, the solution for \(x\) is:

\[
x = \frac{3a - 1}{2}
\]

Would you like more details on this process or have any other questions?

Here are 5 related questions to expand your understanding:
1. How can this equation be applied to solve for specific values of \(a\)?
2. What happens if \(a = 0\)? What does \(x\) become in that case?
3. Can you graph the equation \(y = \frac{2x + 1}{3}\)? How does the graph look?
4. How would the solution change if the numerator were more complex, like \(4x + 5\)?
5. What are the effects of adding constants on both sides of an equation?

**Tip:** Always isolate the variable step-by-step, starting by clearing fractions or parentheses if they exist!

Learn how to solve the linear equation (2x + 1)/3 = a with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving for x in terms of a, and is suitable for students in Grades 7-9.

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