2(t-5)-3(2t-7)=13-5(3t+1)

Solution for 2(t-5)-3(2t-7)=13-5(3t+1) equation:

2(t-5)-3(2t-7)=13-5(3t+1)

We simplify the equation to the form, which is simple to understand 
2(t-5)-3(2t-7)=13-5(3t+1)

Reorder the terms in parentheses
+(+2t-10)-3*(2t-7)=13-5*(3t+1)

Remove unnecessary parentheses
+2t-10-3+*(+2t-7+)=+13-5+*(+3t+1+)

Reorder the terms in parentheses
+2t-10+(-6t+21)=13-5*(3t+1)

Remove unnecessary parentheses
+2t-10-6t+21=+13-5+*(+3t+1+)

Reorder the terms in parentheses
+2t-10-6t+21=13+(-15t-5)

Remove unnecessary parentheses
+2t-10-6t+21=+13-15t-5

We move all terms containing t to the left and all other terms to the right. 
+2t-6t+15t=+13-5+10-21

We simplify left and right side of the equation. 
+11t=-3

We divide both sides of the equation by 11 to get t. 
t=-0.27272727272727