# The graph of the equation 2x+ 6y =4 passes through point (x,-2). What is the value of x?

Jan 3, 2017

$x = 8$

#### Explanation:

To solve this problem we substitute $\textcolor{red}{- 2}$ for $\textcolor{red}{y}$ in the equation and solve for $x$:

$2 x + 6 \textcolor{red}{y} = 4$

Becomes:

$2 x + \left(6 \times \textcolor{red}{- 2}\right) = 4$

$2 x + \left(- 12\right) = 4$

$2 x - 12 = 4$

Next we can add $\textcolor{red}{12}$ to each side of the equation to isolate the $x$ term while keeping the equation balanced:

$2 x - 12 + \textcolor{red}{12} = 4 + \textcolor{red}{12}$

$2 x - 0 = 16$

$2 x = 16$

Now, we divide each side of the equation by $\textcolor{red}{2}$ to solve for $x$ while keeping the equation balanced:

$\frac{2 x}{\textcolor{red}{2}} = \frac{16}{\textcolor{red}{2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} x}{\cancel{\textcolor{red}{2}}} = 8$

$x = 8$