What are the solutions to the equation?

|x-3|=14

Well the absolute value of something means that it could have possibly been a negative answer. so |x-3| = 14 could be

x - 3 = 14

or

x - 3 = - 14 (this is usually written - (x-3) = 14)

so we solve both of these

x - 3 = 14

x = 17

and

x - 3 = - 14

x = - 11

to shiw its the same i will do other way

- (x - 3) = 14

-x + 3 = 14

-x = 11

x = - 11