3(t+1)=3(2t-3)

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

3(t+1)=3(2t-3)

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

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

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

Reorder the terms in parentheses
+3t+3=+(+6t-9)

Remove unnecessary parentheses
+3t+3=+6t-9

We move all terms containing t to the left and all other terms to the right. 
+3t-6t=-9-3

We simplify left and right side of the equation. 
-3t=-12

We divide both sides of the equation by -3 to get t. 
t=4