Answer:
t = 3
Step-by-step explanation:
[tex]\tt (t-5)=5(t-5)+8[/tex]
1) Expand
[tex]\tt t-5=5t-17[/tex]
2) Add 5 to both sides
[tex]\tt t -5+5=5t-17+5[/tex]
[tex]\tt t=5t-12[/tex]
3) Subtract 5t from both sides
[tex]\tt t-5t=5t-12-5t[/tex]
[tex]\tt -4t=-12[/tex]
4) Divide both sides by -4
[tex]\tt \cfrac{-4t}{-4}=\cfrac{-12}{-4}[/tex]
[tex]\tt t=3[/tex]
Hope it helps! :)