see explanation
Step-by-step explanation:
DS + ST = DT , substitute values
2x - 8 + 3x - 12 = 60 , that is
5x - 20 = 60 ( add 20 to both sides )
5x = 80 ( divide both sides by 5 )
x = 16
Then
DS = 2x - 8 = 2(16) - 8 = 32 - 8 = 24
ST = 3x - 12 = 3(16) - 12 = 48 - 12 = 36