How do you solve $abs(- 4x - 5) + 7= 10$ ?

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Answer 1 · 2016-12-05T08:43:45

$x=-2 or x=-1/2$

You can get the equivalent equation:

$|-4x-5|=3$

and then consider that it's solved by:

$-4x-5=+-3$

whose solutions are given by:

$4x=-5-3 or 4x=-5+3$

then $x=-2 or x=-1/2$

How do you solve abs(- 4x - 5) + 7= 10abs(- 4x - 5) + 7= 10?