How do you solve $abs(-2x+4)=6$ ?

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Answer 1 · 2018-07-13T09:20:39

$x=-1$ or $x=5$

We have to solve $|-2x+4|=6$

writing this equation as

$2|-x+2|=6$
so $|x-2|=3$

If $x>=2$ then we get $x-2=3$ so $x=5$

if $x<2$ then we get $-x+2=3$ so $x=-1$

How do you solve abs(-2x+4)=6abs(-2x+4)=6?