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

The answer to x=|5x-2| is x= 1/3 \lor x= 1/2

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

The solution is x= 1/3 \lor x= 1/2

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x = ∣ 5 x - 2 ∣

x = \frac{1}{3} or x = \frac{1}{2}

Decimal Notation

x = 0.33333 \dots, x = 0.5

Solution steps

x = ∣ 5 x - 2 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

x = \frac{1}{3} or x = \frac{1}{2}

∣ x - 4 ∣ + 7 = 9

∣ 5 - 4 x ∣ = 8

∣ 5 - 4 x ∣ = 9

∣ 5 - 4 x ∣ = 2

∣ - 3 r ∣ = 12