OG详解-OG4 数学2 Q6

The correct answer is 15 or -5. By the definition of absolute value, if |x - 5|=10, then x-5 =10 or x - 5 =-10. Adding 5 to both sides of the first equation yields x =15. Adding 5 to both sides of the second equation yields x =-5. Thus, the given equation has two possible solutions, 15 and -5. Note that 15 and –5 are examples of ways to enter a correct answer.