Chapter R - Elementary Algebra Review - R.2 Equations, Inequalities, and Problem Solving - R.2 Exercise Set - Page 946: 19

$t=\dfrac{69}{5}$

Using the properties of equality, the value of the variable that satisfies the given expression, $ \dfrac{2}{5}+\dfrac{1}{3}t=5 ,$ is \begin{array}{l}\require{cancel} 15\left( \dfrac{2}{5}+\dfrac{1}{3}t \right)=5(15) \\\\ 3(2)+5(1t)=75 \\\\ 6+5t=75 \\\\ 5t=75-6 \\\\ 5t=69 \\\\ t=\dfrac{69}{5} .\end{array}