Solve the inequality $4x + 8 \leq 2x - 12$.

1. Problem Description

Solve the inequality $4x + 8 \leq 2x - 12$.

2. Solution Steps

We want to isolate $x$ on one side of the inequality. First, subtract $2x$ from both sides:

$$4x + 8 - 2x \leq 2x - 12 - 2x$$

$$2x + 8 \leq -12$$

Next, subtract 8 from both sides:

$$2x + 8 - 8 \leq -12 - 8$$

$$2x \leq -20$$

Finally, divide both sides by 2:

$$\frac{2x}{2} \leq \frac{-20}{2}$$

$$x \leq -10$$

3. Final Answer

$x \leq -10$