Elementary Algebra

$x\ge-9$
Using the Distributive Property and the properties of inequalities, the solution to the given inequality, $3(x-1)\le5(x+3) ,$ is \begin{array}{l}\require{cancel} 3x-3\le5x+15 \\\\ 3x-5x\le15+3 \\\\ -2x\le18 \\\\ x\ge\dfrac{18}{-2} \\\\ x\ge-9 .\end{array}