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

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

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|x|-1=2x+1

∣ x ∣ - 1 = 2 x + 1

x = - \frac{2}{3}

Decimal

x = - 0.66666 \dots

Solution steps

∣ x ∣ - 1 = 2 x + 1

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{2}{3} or No Solution

x = - \frac{2}{3}

x, 26 = ∣ x - 15 ∣

14 - ∣ x + 8 ∣ = 5

4 ∣ v - 10 ∣ - 2 = 26

x^{12} = 5

∣ 3 x - 4 ∣ = ∣ 11 - 2 x ∣