someone please help me.. i can’t figure out what to do. but i need this explained step by step so i know what to do next time.

Answer:
Step-by-step explanation:
½(x-2) = 8 + 5x
Multiply both sides by 2
2⋅½(x-2) = 2(8 + 5x)
1(x-2) = 2(8 + 5x)
Apply the distributive rule
x - 2 = 16 + 10x
Subtract x from both sides
-2 = 16 + 9x
Subtract 16 from both sides
-18 = 9x
Divide both sides by the coefficient of x
-18 ÷ 9 = 9x ÷ 9
-2 = x