What is the answer to |5x-2|=4x ?

The answer to |5x-2|=4x is x= 2/9 \lor x=2

Solve for x: |5x-2|=4x

The solution is x= 2/9 \lor x=2

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∣ 5 x - 2 ∣ = 4 x

x = \frac{2}{9} or x = 2

Decimal Notation

x = 0.22222 \dots, x = 2

Solution steps

∣ 5 x - 2 ∣ = 4 x

Find positive and negative intervals

x < \frac{2}{5}, x \geq \frac{2}{5}

Solve the inequality for each interval

x = \frac{2}{9} or x = 2

∣ x + 7.5 ∣ = 2.5

∣ s - 6 ∣ = 1

∣ 4 x + 20 ∣ = 6 x

\frac{x}{2} = 0

∣ - (x - 5) ∣ = 8.5