# How do you solve the rational equation x /( x + 2) = (x - 3)/( x + 1)?

Apr 25, 2018

$x = - 3$

#### Explanation:

Cross multiply.
${x}^{2} + x = {x}^{2} - x - 6$

Simplify
$x = - x - 6$
$2 x = - 6$
$x = - 3$

Check:
$\frac{- 3}{- 3 + 2}$ = $\frac{- 3 - 3}{- 3 + 1}$

$\frac{- 3}{-} 1 = \frac{- 6}{-} 2$

$3 = 3$