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

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

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|x|=2x+1

∣ x ∣ = 2 x + 1

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

∣ x ∣ = 2 x + 1

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

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

x = - \frac{1}{3}

∣ x + 2 ∣ = 9

∣ x - 2 ∣ = x

2 ∣ - x - 6 ∣ = 3 x + 8

∣ 2 x + 9 ∣ = x - 1

∣ 4 x - 7 ∣ - 2 = x