# How do you solve the equation for x: 5x + 2y = 15?

Sep 1, 2015

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

#### Explanation:

To solve this equation for $x$, you need to isolate it on one side of the equation.

Start by adding $- 2 y$ to both sides of the equation

$5 x + \textcolor{red}{\cancel{\textcolor{b l a c k}{2 y}}} - \textcolor{red}{\cancel{\textcolor{b l a c k}{2 y}}} = 15 - 2 y$

$5 x = 15 - 2 y$

Now divide both sides of the equation by $5$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}} x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}}} = \frac{15 - 2 y}{5}$

$x = \frac{15 - 2 y}{5}$

You can simplify this to get

$x = \frac{15}{5} - \frac{2 y}{5} = \textcolor{g r e e n}{3 - \frac{2 y}{5}}$