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

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

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

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

Reorder the terms in parentheses
3t+(-3t-3)=t+2*(t+1)+1

Remove unnecessary parentheses
+3t-3t-3=+t+2+*(+t+1+)+1

Reorder the terms in parentheses
3t-3t-3=t+(+2t+2)+1

Remove unnecessary parentheses
+3t-3t-3=+t+2t+2+1

We move all terms containing t to the left and all other terms to the right. 
+3t-3t-1t-2t=+2+1+3

We simplify left and right side of the equation. 
-3t=+6

We divide both sides of the equation by -3 to get t. 
t=-2