Evaluate: 3(x-4) <=-6

Expression: $3\left( x-4 \right) \leq -6$

Divide both sides of the inequality by $3$

$x-4 \leq -2$

Move the constant to the right-hand side and change its sign

$x \leq -2+4$

Calculate the sum

$\begin{align*}&x \leq 2 \\&\begin{array} { l }x \in \left\langle-\infty, 2\right]\end{array}\end{align*}$