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

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

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

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

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∣ x - 1 ∣ = ∣ 2 x + 1 ∣ - 1

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

Decimal

x = - 3, x = 0.33333 \dots

Solution steps

∣ x - 1 ∣ = ∣ 2 x + 1 ∣ - 1

Find positive and negative intervals

x < - \frac{1}{2}, - \frac{1}{2} \leq x < 1, x \geq 1

Solve the inequality for each interval

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

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

∣ 3 - 7 x ∣ = 19

2 ∣ 5 x ∣ = 50

∣ x + 3 ∣ = 3 + 2 x

∣ x - 7 ∣ = ∣ 3 x - 1 ∣

4 ∣ y - 5 ∣ - 8 = 0

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