# How do you solve 2/3 - 6h = 13/6?

Jan 26, 2016

$h = - \frac{1}{4}$

#### Explanation:

color(blue)(2/3-6h=13/6

Our main aim here is to isolate $x$

Let's start to solve

$\rightarrow \frac{2}{3} - 6 h = \frac{13}{6}$

Subtract color(red)(2/3 both sides

$\rightarrow \frac{2}{3} - 6 h - \textcolor{red}{\frac{2}{3}} = \frac{13}{6} - \textcolor{red}{\frac{2}{3}}$

$\rightarrow \cancel{\frac{2}{3}} - 6 h - \cancel{\textcolor{red}{\frac{2}{3}}} = \frac{13}{6} - \textcolor{red}{\frac{2}{3}}$

$\rightarrow - 6 h = \frac{3}{2}$

Divide both sides by color(red)(-6

$\rightarrow \frac{\cancel{- 6} h}{\cancel{\textcolor{red}{- 6}}} = \frac{3}{2} \div \textcolor{red}{- 6}$

$\rightarrow h = \frac{3}{2} \cdot \textcolor{red}{- \frac{1}{6}}$

color(green)(rArrh=-1/4