tor the fractions in the equation \( \frac{7}{x-2}=\frac{2}{(x-2)} \)

It appears you want to solve the equation: \[ \frac{7}{x - 2} = \frac{2}{x - 2} \] Let's solve for \( x \): 1. **Identify the Equation:** \[ \frac{7}{x - 2} = \frac{2}{x - 2} \] 2. **Check the Denominator:** First, note that \( x - 2 \) cannot be zero because division by zero is undefined. Therefore: \[ x - 2 \neq 0 \implies x \neq 2 \] 3. **Simplify the Equation:** Since both sides of the equation have the same denominator and the denominators are not zero, we can equate the numerators: \[ 7 = 2 \] 4. **Analyze the Result:** The statement \( 7 = 2 \) is **false**. This means there is no value of \( x \) (other than the excluded value \( x = 2 \)) that satisfies the original equation. 5. **Conclusion:** **There is no solution** to the equation. \[ \boxed{\text{No solution}} \]