I really cannot follow your listing:
1) a 1) given equation
2) 2x=2(5x+8) 2)b
3) c 3)distributive property of equality
4) 0=8x+16 4)d
5) e 5)subtraction property of equality
6) -2=x 6)f
7) g 7)symmetric property
Your equation starts as , and maybe you want to solve for x. More than one way to do.
DISTRIBUTIVE PROP.
Be careful about "Subtraction Property of Equality", because none is.
Try ADDITIVE INVERSE, and ADDITION PROPERTY OF EQUALITY.
which basically means the same as
Next you need MULTIPLICATION PROPERTY OF EQUALITY.
DONE.