Solve these equations. Show solutions on a number line. |x-12| = 4

x=16, x=8

Step-by-step explanation:

since x in |x-12| can be both negative and positive, we have to find two numbers for each senario. if x-12 is negative, we flip them so it becomes 12-x. so 12-x=4 is easily solved and the answer would be 8. if it is positive, we would keep it and x-12 would be 4. we also solve this to get 16. we can check our work by putting them in to get 16-12 is 4 and |8-12| is 4