Question 43867
{{{8/t+5=((t-3)/(t+5))+1/3}}}
multiply both sides by (t+5) to get rid of those awkward denominators:
{{{8=(t-3)+((t+5)/3)}}}
multiply both sides by 3:
{{{24=3(t-3)+(t+5)}}}
{{{24=4t-9+5}}}
{{{28=4t}}}
{{{t=7}}}
I hope this helps. 
If you have any other problems, please dont hesitate to contact me at adam.chapman@student.manchester.ac.uk