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

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

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

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

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2 ∣ 6 x - 2 ∣ = 8 x

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

Decimal Notation

x = 0.2, x = 1

Solution steps

2 ∣ 6 x - 2 ∣ = 8 x

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

∣ - 6 j ∣ + 2 = 2

∣ 2 - y ∣ + 3 = 4

- 14 = - 7 ∣ w ∣

∣ 2 x - 5 ∣ + x = 3

∣ 4 - 5 x ∣ = 9