Elementary Algebra

$x=\dfrac{35}{18}$
Multiplying both sides by the $LCD= 30$ and using the properties of equality, the value of the variable that satisfies the given equation, $\dfrac{3}{5}x-\dfrac{2}{3}=\dfrac{1}{2} ,$ is \begin{array}{l}\require{cancel} 6(3x)-10(2)=15(1) \\\\ 18x-20=15 \\\\ 18x=15+20 \\\\ 18x=35 \\\\ x=\dfrac{35}{18} .\end{array}