4(a-3)=-3(2+4a)

Solution for 4(a-3)=-3(2+4a) equation:

4(a-3)=-3(2+4a)

We simplify the equation to the form, which is simple to understand 
4(a-3)=-3(2+4a)

Reorder the terms in parentheses
+(+4a-12)=-3*(2+4a)

Remove unnecessary parentheses
+4a-12=-3+*(+2+4a+)

Reorder the terms in parentheses
+4a-12=+(-6-12a)

Remove unnecessary parentheses
+4a-12=-6-12a

We move all terms containing a to the left and all other terms to the right. 
+4a+12a=-6+12

We simplify left and right side of the equation. 
+16a=+6

We divide both sides of the equation by 16 to get a. 
a=0.375