# How do you solve 2/3n - 7 = 19?

Aug 5, 2015

color(blue)(n=39

#### Explanation:

2/3n−7=19

(2n−21)/3=19

2n−21=19*3

$2 n = 57 + 21$

$2 n = 78$

$n = \frac{78}{2}$

color(blue)(n=39

Aug 5, 2015

You isolate $n$ on one side of the equation to get $n = 39$.

#### Explanation:

All you need to do in order to solve this equation is get $n$ alone on one side of the equation.

To do that, start by adding $7$ to both sides of the equation

$\frac{2}{3} n - \textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} + \textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} = 19 + 7$

$\frac{2}{3} n = 26$

Now multiply boh sides of the equation by $\frac{3}{2}$ to get

$\textcolor{red}{\cancel{\textcolor{b l a c k}{\frac{3}{2}}}} \cdot \textcolor{red}{\cancel{\textcolor{b l a c k}{\frac{2}{3}}}} n = 26 \cdot \frac{3}{2}$

$n = \textcolor{g r e e n}{39}$