Step-by-step explanation:
Let's use PEMDAS here
P: N/A
E: To transform [tex]5^{x}[/tex] to [tex]5^{3x}[/tex], we put [tex]5^{x}[/tex] to the power of 3.
M: We multiply 2 to [tex]5^{3x}[/tex], stretching the function by 2
M: We multiply -1 to [tex]2*5^{3x}[/tex], flipping the function vertically over x=0 (this is interchangeable with multiplying 2)
D: N/A
A: We add 8, moving the function to the right by 8
S: N/A