Solve for x 2|x-6|+14=38

x=18 x=-6

Step-by-step 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