Let's solve your equation step -by-step
-3/2 (x-5)=-12
Step 1: Simplify both sides of the equation
-3/2(x-5)=-12
(-3/2) (x)+ (-3/2) (-5)=-12 (distribute)
-3/2 x + 15/2 =-12
Step 2 : Subtract 15/2 from both sides
-3/2 x +15/2 -15/2 =-12 -15/2
-3/2 x =-39/2
Step 3 : Multiply both sides by 2/(-3)
(2/-3)*(-3/2 x) =(2/-3) *(-39/2)
Answer: x=13