# How do you solve 7/5=(2x+4)/9?

Jul 19, 2018

#### Answer:

$x = 4.3$

#### Explanation:

$\frac{7}{5} = \frac{2 x + 4}{9}$

To solve this, we first cross multiply:
$7 \cdot 9 = 5 \left(2 x + 4\right)$

Simplify the left side and distribute the right side:
$63 = 10 x + 20$

Subtract $\textcolor{b l u e}{20}$ from both sides of the equation:
$63 \quad \textcolor{b l u e}{- \quad 20} = 10 x + 20 \quad \textcolor{b l u e}{- \quad 20}$

$43 = 10 x$

Now divide both sides by $\textcolor{b l u e}{10}$:
$\frac{43}{\textcolor{b l u e}{10}} = \frac{10 x}{\textcolor{b l u e}{10}}$

$4.3 = x$

Therefore, $x = 4.3$

Hope this helps!