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

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

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

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

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∣ 5 x - 2 ∣ = x

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

Decimal

x = 0.33333 \dots, x = 0.5

Solution steps

∣ 5 x - 2 ∣ = x

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}

2 ∣ x - 3 ∣ + x + 9 = 0

∣ x - 4 ∣ = 12 x + 3

y, x = - ∣ y ∣ - 2

∣ x + 5 ∣ + ∣ y - 3 ∣ = 5

∣ 2 x + 3 ∣ = ∣ 1 - x ∣