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

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Answer 1 · 2016-12-05T08:43:45

$x = - 2 or x = - \frac{1}{2}$ $x=-2 or x=-1/2$

You can get the equivalent equation:

$| - 4 x - 5 | = 3$ $|-4x-5|=3$

and then consider that it's solved by:

$- 4 x - 5 = \pm 3$ $-4x-5=+-3$

whose solutions are given by:

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

then $x = - 2 or x = - \frac{1}{2}$ $x=-2 or x=-1/2$

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