# How do you solve 14 = 9x - 4?

Jul 1, 2016

$x = 2$

#### Explanation:

Step 1
In order to solve for $x$ in the given equation, you need to isolate for $x$, that is, get it to one side of the equation.

Starting with,

$14 = 9 x - 4$

Add $4$ to both sides.

$14 \textcolor{w h i t e}{i} \textcolor{red}{+ 4} = 9 x - 4 \textcolor{w h i t e}{i} \textcolor{red}{+ 4}$

$18 = 9 x$

Step 2
Now that the term with the $x$ is on one side of the equation, you can divide both sides by $9$ to determine its value.

Dividing both sides by $9$,

$\textcolor{red}{\frac{\textcolor{b l a c k}{18}}{9}} = \textcolor{red}{\frac{\textcolor{b l a c k}{9 x}}{9}}$

$x = \textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{2} \textcolor{w h i t e}{\frac{a}{a}} |}}}$