# How do you solve 6 = a/4+2?

Jan 13, 2016

In order to solve for $a$ we need to isolate the $a$ term.

#### Explanation:

$6 = \frac{a}{4} + 2$

That $a$ term is stuck on top of a 4, so we need to get it by itself before we can do anything.

To do that we need to get rid of the +2. How do you do that? by subtracting 2 (or adding -2, which is the same thing)

But since it is an equation (meaning the two sides are equal) we have to do the same thing to both sides:

$6 - 2 = \frac{a}{4} \cancel{+ 2} \cancel{- 2}$

so we are left with

$4 = \frac{a}{4}$

To get the $a$ by itself, we have to eliminate the $\frac{1}{4}$, a division, which we do by multiplying both sides by 4:

$4 \times 4 = \frac{a}{\cancel{4}} \times \cancel{4}$

leaving

$a = 16$