# How do you simplify 3/(x+2)=2/(x+5)?

Oct 9, 2015

$x = - 11$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} \frac{3}{x + 2} = \frac{2}{x + 5}$

If we multiply both sides by $\left[\left(x + 2\right) \left(x + 5\right)\right]$, we get
$\textcolor{w h i t e}{\text{XXX}} 3 \left(x + 5\right) = 2 \left(x + 2\right)$

$\rightarrow \textcolor{w h i t e}{\text{XXX}} 3 x + 15 = 2 x + 4$

$\rightarrow \textcolor{w h i t e}{\text{XXX}} x = - 11$