# How do you solve 6 = 20/(x-2)?

Apr 10, 2018

$x = \frac{16}{3}$

#### Explanation:

6=20/(x−2)

Multiply both sides by $x - 2$. This will cancel $x - 2$ on the right-hand side.

$6 \left(x - 2\right) = 20$

Expand the left-hand side.

$6 x - 12 = 20$

Add $12$ to both sides.

$6 x = 32$

Divide both sides by $6$.

$x = \frac{32}{6}$

Simplify by dividing the numerator and denominator by $2$.

$x = \frac{16}{3}$