2(t+4)-(2t-4)=3(2t+3)-27

Solution for 2(t+4)-(2t-4)=3(2t+3)-27 equation:

2(t+4)-(2t-4)=3(2t+3)-27

We simplify the equation to the form, which is simple to understand 
2(t+4)-(2t-4)=3(2t+3)-27

Reorder the terms in parentheses
+(+2t+8)-(2t-4)=3*(2t+3)-27

Remove unnecessary parentheses
+2t+8-(+2t-4+)=+3+*(+2t+3+)-27

Remove unnecessary parentheses
+2t+8-2t+4=3*(2t+3)-27

Reorder the terms in parentheses
+2t+8-2t+4=+(+6t+9)-27

Remove unnecessary parentheses
+2t+8-2t+4=+6t+9-27

We move all terms containing t to the left and all other terms to the right. 
+2t-2t-6t=+9-27-8-4

We simplify left and right side of the equation. 
-6t=-30

We divide both sides of the equation by -6 to get t. 
t=5