# How do you solve (x-2)/(x+6)=(x+4)/(x+2)?

Feb 16, 2016

You can get rid of the denominators by using the property $\frac{a}{b} = \frac{m}{n} \to b \times m = a \times n$

#### Explanation:

$\left(x + 6\right) \left(x + 4\right) = \left(x - 2\right) \left(x + 2\right)$

${x}^{2} + 6 x + 4 x + 24 = {x}^{2} - 2 x + 2 x - 4$

${x}^{2} - {x}^{2} + 10 x + 28 = 0$

$10 x = - 28$

$x = - \frac{14}{5}$

Hopefully this helps.