How do you solve $| - 5 x - 3 | = 8$ $abs(-5x-3)=8$ ?

Question

1309 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-02T20:56:30

$x = - \frac{11}{5}$ $x=-11/5$ or $x = - 1$ $x=-1$

$| - 5 x - 3 | = 8$ $|-5x-3|=8$ meaans

either $- 5 x - 3 = 8$ $-5x-3=8$ i.e. $- 5 x = 11$ $-5x=11$ i.e. $x = - \frac{11}{5}$ $x=-11/5$

or $- 5 x - 3 = - 8$ $-5x-3=-8$ i.e. $- 5 x = - 8 + 3 = - 5$ $-5x=-8+3=-5$ i.e. $x = - 1$ $x=-1$

How do you solve |−5x−3|=8abs(-5x-3)=8?