To solve for $x$ in the equation $3x - 2y = 6$, follow these steps:

1. Start with the equation: $3x - 2y = 6$

2. Isolate $x$ by adding $2y$ to both sides: $3x = 6 + 2y$

3. Now, divide both sides of the equation by 3 to solve for $x$: $x = \frac{6 + 2y}{3}$

4. Simplify the expression: $x = 2 + \frac{2y}{3}$

Thus, the solution for $x$ is: $x = 2 + \frac{2y}{3}$

Would you like any further details or clarifications?

Here are some related questions to further your understanding:

1. How would you solve for $y$ in the equation $3x - 2y = 6$?
2. What happens to the value of $x$ when $y = 0$?
3. Can you express $x$ in terms of a specific value for $y$, like $y = 3$?
4. How would you graph the equation $3x - 2y = 6$?
5. What is the slope-intercept form of the equation $3x - 2y = 6$?

Tip: Always check your solution by substituting it back into the original equation to verify its correctness.