# How do you solve 6s-4=8(2+1/4s)?

Dec 4, 2016

$s = 5$

#### Explanation:

First, expand the term in parenthesis:

6s - 4 = (8*2) + 8*1/4*s)

$6 s - 4 = 16 + 2 s$

Now, solve for $s$ using the necessary mathematics while keeping the equation balanced:

$6 s - 4 + 4 - 2 s = 16 + 2 s + 4 - 2 s$

$6 s - 2 s - 0 = 16 + 4 + 0$

$\left(6 - 2\right) s = 20$

$4 s = 20$

$\frac{4 s}{4} = \frac{20}{4}$

$\left(\frac{4}{4}\right) s = 5$

$1 s = 5$

$s = 5$