To find \( x \) in the equation \( 1 = 2y - \frac{1}{3} - x \), we can isolate \( x \) on one side of the equation. Here are the steps:

1. Start with the given equation:
   \[
   1 = 2y - \frac{1}{3} - x
   \]

2. Add \( x \) to both sides to move \( x \) to the left side:
   \[
   1 + x = 2y - \frac{1}{3}
   \]

3. Subtract 1 from both sides to isolate \( x \):
   \[
   x = 2y - \frac{1}{3} - 1
   \]

4. Combine the constant terms on the right side:
   \[
   x = 2y - \frac{1}{3} - \frac{3}{3}
   \]
   \[
   x = 2y - \frac{1}{3} - \frac{3}{3} = 2y - \frac{4}{3}
   \]

So, the value of \( x \) in terms of \( y \) is:
\[
x = 2y - \frac{4}{3}
\]

Would you like more details or have any questions? Here are five related questions you might find interesting:

1. How do you solve equations involving fractions?
2. Can you explain the process of combining like terms in an equation?
3. What are some common methods for isolating variables in an equation?
4. How do you solve linear equations with multiple variables?
5. What are some applications of solving linear equations in real life?

**Tip:** When solving equations, always perform the same operation on both sides to maintain the equality.

Learn how to solve the linear equation 1 = 2y - 1/3 - x step-by-step. This problem covers isolating variables, basic arithmetic, and is suitable for Grades 7-9 students.

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