5(t-5)+3t=4(2t+4)-10

Solution for 5(t-5)+3t=4(2t+4)-10 equation:

5(t-5)+3t=4(2t+4)-10

We simplify the equation to the form, which is simple to understand 
5(t-5)+3t=4(2t+4)-10

Reorder the terms in parentheses
+(+5t-25)+3t=4*(2t+4)-10

Remove unnecessary parentheses
+5t-25+3t=+4+*(+2t+4+)-10

Reorder the terms in parentheses
+5t-25+3t=+(+8t+16)-10

Remove unnecessary parentheses
+5t-25+3t=+8t+16-10

We move all terms containing t to the left and all other terms to the right. 
+5t+3t-8t=+16-10+25

We simplify left and right side of the equation. 
t=+31

0=31

The left and right sides are not equal, therefore there is no solution. This equation is invalid.