9|x| - 6|x| = 6

Let's solve the equation step by step:

1. Combine the terms with absolute values:
$$9|x| - 6|x| = 3|x|$$

2. So the equation becomes:
$$3|x| = 6$$

3. Divide both sides by 3:
$$|x| = \frac{6}{3}$$
$$|x| = 2$$

4. Since the absolute value of x is 2, x can be either 2 or -2.
$$x = 2 \quad \text{or} \quad x = -2$$

Thus, the solutions are 2 and -2.

Answer: 2 and -2