Linear inequality

Statement

Solve the inequality $2(x+3) \le 4 - x$.

Solution

Expand the left side and move the $x$-terms left and the numbers right: $2x + 6 \le 4 - x \implies 2x + x \le 4 - 6 \implies 3x \le -2.$ Dividing by $3$ (positive, the direction is unchanged): $x \le -\frac{2}{3}.$ $\boxed{x \le -\tfrac{2}{3}}$