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

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

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

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

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

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

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

Remove unnecessary parentheses
+2t-6-4=+t-3t-3

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

We simplify left and right side of the equation. 
+4t=+7

We divide both sides of the equation by 4 to get t. 
t=1.75