Answer:
x=18 x=-6
Explanation:
2|x-6|+14=38
The first step is to isolate the absolute value
Subtract 14 from each side
2|x-6|+14-14=38-14
2|x-6|=24
Divide by 2 on each side
2/2|x-6|=24/2
|x-6| = 12
Now we can seperate the absolute value into two parts, the positive and the negative
x-6 =12 x-6 = -12
Add 6 to each side
x-6+6 =12+6 x-6+6 = -12+6
x=18 x= -6