Step-by-step explanation:
1. X=12
X= -12
2. X=5
X= -5
3. 2|x|=24
= 2|X|/2 = 24/2
=. |X|=12
= X=12
=X= -12
4.|5x+4|+12=4
= |5x+4| -12=4
= |5x+4| =4
=|5x-4|=4
=|5x|=4
= 5x/5 =4/5
X=4/5 or 0.8
X= -4/5 or -0.8
5. |2x|=8
2x/2 =8/2
X=4
X= -4
6. 4|2x-5| -2=10
= 4|2x-5| +2=10+2
= 4|2x-5|/4 =12/4
= |2x-5|=3
=|2x+5|=3
|2x|=3
2x/2 =3/2
X=3/2 or 1.5 or x= -3/2 or -1.5
7. |2x-5|=9 there are 2 solutions so:
first:
= 2x - 5=9
2x + 5 =9+5
2x/2= 14 /2
X=7
=2x-5=-9
2x + 5= -9+5
=2x= -4
8-10 in the comments