What is the answer to 8x=2|6x-2| ?

The answer to 8x=2|6x-2| is x= 1/5 \lor x=1

Solve for x: 8x=2|6x-2|

The solution is x= 1/5 \lor x=1

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8 x = 2 ∣ 6 x - 2 ∣

x = \frac{1}{5} or x = 1

Decimal Notation

x = 0.2, x = 1

Solution steps

8 x = 2 ∣ 6 x - 2 ∣

Find positive and negative intervals

x < \frac{1}{3}, x \geq \frac{1}{3}

Solve the inequality for each interval

x = \frac{1}{5} or x = 1

∣ 4 - 9 x ∣ + 4 = 27

∣ 8 + p ∣ = 2 p - 3

∣ 3 x + 5 ∣ = 5 x + 2

3 ∣ 2 a - 4 ∣ = 0

∣ 5 x - 3 ∣ + 12 = 4