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

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

Solve for x: 2|x+1|+x=1

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

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2 ∣ x + 1 ∣ + x = 1

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

Solution steps

2 ∣ x + 1 ∣ + x = 1

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

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

x^{2} - 10 x + 9 = 0

2 - ∣ 4 - x ∣ = 0

∣ - 11 x + 3 ∣ + 7 = 2

∣ x - 8 ∣ = 0.01

∣ - 4 x - 9 ∣ = 4 + x