How do you solve 6/2=7/(x+9)?

Sep 15, 2016

$x = - \frac{20}{3}$

Explanation:

We have: $\frac{6}{2} = \frac{7}{x + 9}$

First, let's cross-multiply:

$\implies 6 \cdot \left(x + 9\right) = 7 \cdot 2$

Then, let's divide both sides of the equation by $6$:

$\implies x + 9 = \frac{7 \cdot 2}{6}$

$\implies x + 9 = \frac{7}{3}$

Finally, to solve for $x$, let's subtract $9$ from both sides:

$\implies x = \frac{7}{3} - 9$

$\implies x = - \frac{20}{3}$