2(t-1)-3(2t-1)=3-5(3t+2)

Solution for 2(t-1)-3(2t-1)=3-5(3t+2) equation:

2(t-1)-3(2t-1)=3-5(3t+2)

We simplify the equation to the form, which is simple to understand 
2(t-1)-3(2t-1)=3-5(3t+2)

Reorder the terms in parentheses
+(+2t-2)-3*(2t-1)=3-5*(3t+2)

Remove unnecessary parentheses
+2t-2-3+*(+2t-1+)=+3-5+*(+3t+2+)

Reorder the terms in parentheses
+2t-2+(-6t+3)=3-5*(3t+2)

Remove unnecessary parentheses
+2t-2-6t+3=+3-5+*(+3t+2+)

Reorder the terms in parentheses
+2t-2-6t+3=3+(-15t-10)

Remove unnecessary parentheses
+2t-2-6t+3=+3-15t-10

We move all terms containing t to the left and all other terms to the right. 
+2t-6t+15t=+3-10+2-3

We simplify left and right side of the equation. 
+11t=-8

We divide both sides of the equation by 11 to get t. 
t=-0.72727272727273