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

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Answer 1 · 2016-01-13T21:31:15

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

$6=a/4+2$

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:

$6-2=a/4 cancel(+2) cancel(-2)$

so we are left with

$4=a/4$

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

$4xx4=a/cancel(4)xxcancel(4)$

leaving

$a=16$

How do you solve 6 = a/4+26 = a/4+2?