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

1 Answer
May 2, 2018

Answer:

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

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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!