Let's solve the equation $x = 2x - \frac{7}{2}$.

Step 1: Move all terms involving $x$ to one side.

Subtract $2x$ from both sides: $x - 2x = -\frac{7}{2}$

This simplifies to: $-x = -\frac{7}{2}$

Step 2: Multiply both sides by -1 to solve for $x$:

$x = \frac{7}{2}$

Thus, the solution is: $x = \frac{7}{2}$

Would you like more details on the steps or any other questions?

Related Questions:

1. How would the solution change if the equation was $x = 3x - \frac{7}{2}$?
2. Can you explain how to handle fractions in equations like this one?
3. What would happen if we had a quadratic term, like $x^2$, in this equation?
4. How do we check the solution once we have it?
5. What methods can we use to solve an equation if it contains decimals instead of fractions?

Tip:

When solving equations with fractions, it's often helpful to clear the fraction by multiplying the entire equation by the denominator.