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

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Answer 1 · 2015-11-05T22:18:58

$x=|6| or x=|-2|$

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 $x=|6| and x=|-2|$

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