$5x-5 \leq 3\left( x+3 \right)$
Distribute $3$ through the parentheses$5x-5 \leq 3x+9$
Move the variable to the left-hand side and change its sign$5x-5-3x \leq 9$
Move the constant to the right-hand side and change its sign$5x-3x \leq 9+5$
Collect like terms$2x \leq 9+5$
Add the numbers$2x \leq 14$
Divide both sides of the inequality by $2$$\begin{align*}&x \leq 7 \\&\begin{array} { l }x \in \left\langle-\infty, 7\right]\end{array}\end{align*}$