What is the answer to |3x-2|-x=4 ?

The answer to |3x-2|-x=4 is x=-1/2 \lor x=3

Solve for x: |3x-2|-x=4

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

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∣ 3 x - 2 ∣ - x = 4

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

Decimal Notation

x = - 0.5, x = 3

Solution steps

∣ 3 x - 2 ∣ - x = 4

Find positive and negative intervals

x < \frac{2}{3}, x \geq \frac{2}{3}

Solve the inequality for each interval

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

∣ p + 6 ∣ + 9 = 8

- 5 ∣ X + 9 ∣ - 1 = 14

∣ 2 x ∣ = 6.8

2 ∣ x + 5 ∣ + 4 = 6

∣ x - 126 ∣ = 30