3(a-2)+4(2-a)=a+2(a+1)

Solution for 3(a-2)+4(2-a)=a+2(a+1) equation:

3 (a-2)+4 (2-a)=a+2 (a+1)

We simplify the equation to the form, which is simple to understand 
3(a-2)+4(2-a)=a+2(a+1)

Reorder the terms in parentheses
+(+3a-6)+4*(2-a)=a+2*(a+1)

Remove unnecessary parentheses
+3a-6+4+*(+2-a+)=+a+2+*(+a+1+)

Reorder the terms in parentheses
+3a-6+(+8-4a)=a+2*(a+1)

Remove unnecessary parentheses
+3a-6+8-4a=+a+2+*(+a+1+)

Reorder the terms in parentheses
+3a-6+8-4a=a+(+2a+2)

Remove unnecessary parentheses
+3a-6+8-4a=+a+2a+2

We move all terms containing a to the left and all other terms to the right. 
+3a-4a-1a-2a=+2+6-8

We simplify left and right side of the equation. 
-4a=0

We divide both sides of the equation by -4 to get a. 
a=-0