What is the answer to |(4x-1)/3 |=2x ?

The answer to |(4x-1)/3 |=2x is x= 1/10

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|(4x-1)/3 |=2x

\frac{4 x - 1}{3} = 2 x

x = \frac{1}{10}

Decimal Notation

x = 0.1

Solution steps

\frac{4 x - 1}{3} = 2 x

Find positive and negative intervals

x < \frac{1}{4}, x \geq \frac{1}{4}

Solve the inequality for each interval

x = \frac{1}{10} or No Solution

x = \frac{1}{10}

- 1 ∣ - 2 k + 7 ∣ - 2 = - 8

∣ 8 k ∣ = 24

7 ∣ y + 6 ∣ + 4 = 4

∣ - 6 m - 6 ∣ = 30

\frac{x}{3} - 2 = 5