Answer:
[tex]\huge\boxed{\sf x = 7}[/tex]
Step-by-step explanation:
According to the given statement
HJ = HK + KJ
Given that HJ = 25 , HK = x - 5 and KJ = 5x-12
[tex]\sf 25 = x-5+5x-12[/tex]
Adding like terms
[tex]\sf 25 = 6x-17\\Adding \ 17\ to\ both\ sides\\25 + 17 = 6x\\42 = 6x\\Dividing \ both \ sides \ by \ 6\\7 = x\\OR\\x = 7[/tex]
