# How do you solve 2/3n+6=1/4n-3?

Jul 12, 2016

The soln. is $n = - \frac{108}{5} = - 21.6$.

#### Explanation:

Given that, $\frac{2}{3} n + 6 = \frac{1}{4} n - 3.$

Isolating the terms with variable $n$ on $L . H . S .$ and the consts. on the $R . H . S .$, we get,

$\frac{2}{3} n - \frac{1}{4} n = - 6 - 3 = - 9.$

To get rid of fractions, we multiply the eqn. by $12$, which is the $l . c . m .$ of nos. in Drs. of $L . H . S .$

$8 n - 3 n = - 108 \Rightarrow 5 n = - 108 \Rightarrow n = - \frac{108}{5}$.

Hence, the soln. is $n = - \frac{108}{5} = - 21.6$.