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

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

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

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

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∣ x + 1 ∣ - ∣ x ∣ = \frac{x}{2}

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

Decimal Notation

x = - 2, x = - 0.66666 \dots, x = 2

Solution steps

∣ x + 1 ∣ - ∣ x ∣ = \frac{x}{2}

Find positive and negative intervals

x < - 1, - 1 \leq x < 0, x \geq 0

Solve the inequality for each interval

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

2 ∣ x ∣ + ∣ x - 1 ∣ = 2

x^{2} - 4 x - 5 = 4

∣ 4 z + 6 ∣ = - 10

∣ (x + 3) ∣ (x + 1) + ∣ 2 x + 5 ∣ = 0

∣ 3 x - 2 ∣ = ∣ x - 3 ∣

What is the answer to |x+1|-|x|= x/2 ?
The answer to |x+1|-|x|= x/2 is x=-2\lor x=-2/3 \lor x=2
Solve for x: |x+1|-|x|= x/2
The solution is x=-2\lor x=-2/3 \lor x=2