# How do you solve 7/15x-4=2?

Jun 5, 2018

$x = \frac{90}{7}$ or about $12.857$ (rounded to the nearest thousandth's place)

#### Explanation:

$\frac{7}{15} x - 4 = 2$

To solve for the variable $x$, we have to make it by itself. First, add $\textcolor{b l u e}{4}$ to both sides of the equation:
$\frac{7}{15} x - 4 \quad \textcolor{b l u e}{+ \quad 4} = 2 \quad \textcolor{b l u e}{+ \quad 4}$

$\frac{7}{15} x = 6$

Now multiply both sides by $\textcolor{b l u e}{15}$:
$\frac{7}{15} x \textcolor{b l u e}{\cdot 15} = 6 \textcolor{b l u e}{\cdot 15}$

$7 x = 90$

Now divide both sides by $\textcolor{b l u e}{7}$:
$\frac{7 x}{\textcolor{b l u e}{7}} = \frac{90}{\textcolor{b l u e}{7}}$

Therefore,
$x = \frac{90}{7}$ or about $12.857$ (rounded to the nearest thousandth's place)

Hope this helps!