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!