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

The answer to |3x-2|=4x is x= 2/7

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|3x-2|=4x

∣ 3 x - 2 ∣ = 4 x

x = \frac{2}{7}

Solution steps

∣ 3 x - 2 ∣ = 4 x

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{2}{7} or No Solution

x = \frac{2}{7}

5 ∣ x + 8 ∣ + 1 = 9

∣ 5 x - 8 ∣ = 10

∣ m ∣ = 7

8 ∣ x - 2 ∣ + 5 = 21

6 ∣ 5 p + 4 ∣ - 16 = 20