To solve for $x$ in the equation $3x + 2y = 12$, we can rearrange the equation to isolate $x$:

1. Start with the equation: $3x + 2y = 12$

2. Subtract $2y$ from both sides to move the $y$-term to the right-hand side: $3x = 12 - 2y$

3. Divide both sides by 3 to solve for $x$: $x = \frac{12 - 2y}{3}$

4. Simplify the right-hand side: $x = 4 - \frac{2y}{3}$

Thus, the solution for $x$ is: $x = 4 - \frac{2y}{3}$

Would you like any further details or clarifications?

Here are 5 related questions:

1. How would you solve for $y$ in terms of $x$?
2. What is the solution if $y = 0$?
3. How do you graph the equation $3x + 2y = 12$?
4. What is the slope of the line represented by $3x + 2y = 12$?
5. How do you find the intercepts of the equation $3x + 2y = 12$?

Tip: When solving for a variable, aim to isolate it by performing inverse operations step by step.