# How do you simplify  3x - 6= 8x - 16?

Sep 26, 2017

See a solution process below:

#### Explanation:

First, subtract $\textcolor{red}{3 x}$ and add $\textcolor{b l u e}{16}$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:

$- \textcolor{red}{3 x} + 3 x - 6 + \textcolor{b l u e}{16} = - \textcolor{red}{3 x} + 8 x - 16 + \textcolor{b l u e}{16}$

$0 + 10 = \left(- \textcolor{red}{3} + 8\right) x - 0$

$10 = 5 x$

Now, divide each side of the equation by $\textcolor{red}{5}$ to solve for $x$ while keeping the equation balanced:

$\frac{10}{\textcolor{red}{5}} = \frac{5 x}{\textcolor{red}{5}}$

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

$2 = x$

$x = 2$