What is the answer to 2x+|x+1|=2 ?

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

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2x+|x+1|=2

2 x + ∣ x + 1 ∣ = 2

x = \frac{1}{3}

Decimal

x = 0.33333 \dots

Solution steps

2 x + ∣ x + 1 ∣ = 2

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

No Solution or x = \frac{1}{3}

x = \frac{1}{3}

∣ 5 x - 1 ∣ = 4 x + 2

\frac{7}{4} ∣ 3 j + 5 ∣ + 1 = 15

2 ∣ 3 x - 5 ∣ = 8

5 ∣ 3 - x ∣ = 20

- 1 ∣ 8 x - 6 ∣ = 0