It seems like there may be a small issue with the way the equation is written. Based on your notation, I interpret the equation as:

\[
\frac{2}{x} - 1 = 2
\]

Is this what you meant? If so, let's solve it step by step.

### Step 1: Add 1 to both sides
\[
\frac{2}{x} = 3
\]

### Step 2: Multiply both sides by \(x\) to eliminate the denominator
\[
2 = 3x
\]

### Step 3: Divide both sides by 3 to solve for \(x\)
\[
x = \frac{2}{3}
\]

Thus, the solution is:

\[
x = \frac{2}{3}
\]

If this isn't the equation you meant, please clarify.

Would you like more details or have any questions?

Here are 5 related questions:
1. What happens if the equation was \( \frac{2}{x} + 1 = 2 \)?
2. How do you solve \( \frac{5}{x} - 3 = 7 \)?
3. Can you solve for \(x\) in \( \frac{2}{x} = 5 \)?
4. What if the equation was \( 2x - 1 = 2 \)?
5. How do you solve for \(x\) in the quadratic equation \( x^2 - 2x + 1 = 0 \)?

**Tip**: Always check the domain of your solution, especially for equations with variables in the denominator, to avoid dividing by zero!

Learn how to solve the rational equation 2/x - 1 = 2 with a clear, step-by-step solution. This problem covers algebraic concepts such as rational equations and linear solutions, making it suitable for students in Grades 6-8.

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