154k views
0 votes
Solve for x 2|x-6|+14=38

User Xu Ouyang
by
8.7k points

1 Answer

6 votes

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

User Sergey Nikolaev
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.