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.

Learn how to solve the equation 3x - 2y = 6 to find the value of x. Follow a step-by-step solution method that isolates x and simplifies the expression. Suitable for students in Grades 7-9 studying algebra and linear equations.

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