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

The answer to |x+2|=2x+1 is x=1

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|x+2|=2x+1

∣ x + 2 ∣ = 2 x + 1

x = 1

Solution steps

∣ x + 2 ∣ = 2 x + 1

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

No Solution or x = 1

x = 1

x^{2} = - ∣ x ∣ + 3

∣ x + 2 ∣ = 2 x - 1

∣ 9 x - 1 ∣ = 5

12 - 8 ∣ k + 4 ∣ = - 4

∣ 6 x - 2 ∣ + 3 = 15