Answer
$t=9$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
\dfrac{2}{3}t-1=5
$, is
\begin{array}{l}
\dfrac{2}{3}t=5+1
\\\\
\dfrac{2}{3}t=6
\\\\
t=6\left( \dfrac{3}{2} \right)
\\\\
t=9
.\end{array}
Checking:
\begin{array}{l}
\dfrac{2}{3}(9)-1=5
\\\\
6-1=5
\\\\
5=5
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
t=9
.$
