How do you solve $2abs(4x - 6) - 8 = 12$ ?

Question

1840 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-12T10:57:56

$x=-1$ or $x=4$

$2|4x−6|−8=12$

$therefore 2|4x−6|=20$

$therefore |4x−6|=10$

Now, $|a|=b \iff a=\pm b$ , so either

$4x-6=10 \iff 4x = 16 \iff x=4$

or

$4x-6 = -10 \iff 4x = -4 \iff x=-1$

How do you solve 2abs(4x - 6) - 8 = 122abs(4x - 6) - 8 = 12?