# How do you solve 3/5x - 2 = 16?

Jun 11, 2018

$x = 30$

#### Explanation:

$\frac{3}{5} x - 2 = 16$

To solve for the variable $x$, we have to make it by itself. To do so, first add $\textcolor{b l u e}{2}$ to both sides of the equation:
$\frac{3}{5} x - 2 \quad \textcolor{b l u e}{+ \quad 2} = 16 \quad \textcolor{b l u e}{+ 2}$

$\frac{3}{5} x = 18$

Now multiply both sides by color(blue)5):
$\frac{3}{5} x \textcolor{b l u e}{\cdot 5} = 18 \textcolor{b l u e}{\cdot 5}$

$3 x = 90$

Divide both sides by $\textcolor{b l u e}{3}$:
$\frac{3 x}{\textcolor{b l u e}{3}} = \frac{90}{\textcolor{b l u e}{3}}$

Therefore,
$x = 30$

Hope this helps!