What is the answer to 3x+|x|=2 ?

The answer to 3x+|x|=2 is x= 1/2

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3x+|x|=2

3 x + ∣ x ∣ = 2

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

3 x + ∣ x ∣ = 2

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = \frac{1}{2}

x = \frac{1}{2}

∣ 6 w - 9 ∣ = 3

x, ∣ x - 3 ∣ = 5

10 = ∣ y ∣

4 - 3 ∣ 2 x + 1 ∣ = - 9

∣ 4 x + 6 ∣ = 6