What is the answer to |3x-2|=9x-6 ?

The answer to |3x-2|=9x-6 is x= 2/3

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|3x-2|=9x-6

∣ 3 x - 2 ∣ = 9 x - 6

x = \frac{2}{3}

Solution steps

∣ 3 x - 2 ∣ = 9 x - 6

Find positive and negative intervals

x < \frac{2}{3}, x \geq \frac{2}{3}

Solve the inequality for each interval

No Solution or x = \frac{2}{3}

x = \frac{2}{3}

∣ x + 12 ∣ + x = 6

35 = ∣ 6 - x ∣

∣ x ∣ = \frac{5}{7}

12 = - 6 ∣ p ∣

∣ 13 + 4 x ∣ = 15