Question

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

Answer 1

Answer:

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