Answer :

We have such question
2.25t+5=13.5t+14         /-2.25t  (subtract both sides 2.22t)
2.25t-2.25t+5=13.5t-2.25t+14
5=11.25t+14                /-14 (subtract 14 both sides)
5-14=11.25t+14-14
-9=11.25t              /:11.25    (divide both sides by 11.25)
[tex]-9:11.25[/tex]
-0.8=x - its the answer
[tex]2.25t+5=13.5t+14\ \ \ \ |subtract\ 5\ from\ both\ sides\\\\2.25t=13.5t+9\ \ \ \ |subtract\ 13.5t\ from\ both\ sides\\\\-11.25t=9\ \ \ \ \ |divide\ both\ sides\ by\ (-11.25)\\\\t=-\frac{9}{11.25}\\\\t=-\frac{900}{1125}\\\\\boxed{t=-0.8}[/tex]