In the equation |x+6|=2x, what is x?

1 Answer
Jacob Sims
Nov 5, 2015

x=|6|orx=|−2|

Explanation:

The first step is to split the equation in two pieces.
−(x+6)=2x and (x+6)=2x

After that, you would treat each as an equation. Distribute the -1 to each side of the 1 equation. −(x+6)=2x⇒−x+−6=2x

So solve as a normal algebraic equation for each side. After that you end up with x=|6|andx=|−2|

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