What is the answer to |3x-2|=6x-4 ?

The answer to |3x-2|=6x-4 is x= 2/3

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|3x-2|=6x-4

∣ 3 x - 2 ∣ = 6 x - 4

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

∣ 3 x - 2 ∣ = 6 x - 4

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}

∣ 3 x - 1 ∣ = 4 x + 2

∣ 8 x + 3 ∣ + 5 = 4

x^{2} + 8 x + 4 = ∣ x + 2 ∣ + 3

∣ 8 - 2 x ∣ = 0

∣ - 3 x + 3 ∣ = 33