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