Show Work and explain but quickly, please.

Answer:
Z= -4.6
Step-by-step explanation:
z/2-3/5=2/3z +6
you first find the LCM of both sides
LCM of 5 and 2 is 10 then LCM of 3 and 6 is 6
5z-6/10 = 4z+1/6
then you cross multiply
6(5z-6)=10(4z+1)
open the bracket
30z-36=40z+10
collect like terms
30z-40z=36+10
-10z=46
z= -46/10
= -4.6