Question

How do you solve the equation `abs(6-2x)=6`?

Answer 1

As shown below:

Explanation:

Absolute values can only be positive, so the first step i solving this equations, is to find the region where the values of `x` is negative, and the values of `x` are positive.

Achieve this like so:

`2x = -1=>x=-1/2`

Therefore

Now you have two equations you have to solve:

`6 = -6 + 2x`

`6 = 6 - 2x`

`x=0, x = 6`

If you're in a hurry, (or slightly lazy like I am), you can always enter the equation into your graphing calculator, like this:

y = abs(6+2x), y = 6, and (if you're using a Ti 83 or 84) press

(2nd) --> {calc} ---> intersect

Hope it helps!