# How do you simplify 4/(x-5)= (x-2)/(x-5)?

Jun 11, 2017

$x = 6$

#### Explanation:

Since the denominators of the fraction are equal, we can multiply by $\left(x - 5\right)$ on both sides to end up with:

$4 = x - 2$

Then, we add 2 to both sides to isolate x and end up with:

$x = 6$.