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

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

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|x+2|=|x|

∣ x + 2 ∣ = ∣ x ∣

x = - 1

Solution steps

∣ x + 2 ∣ = ∣ x ∣

Find positive and negative intervals

x < - 2, - 2 \leq x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = - 1

x = - 1

x^{2} - 6 x + 7 = \frac{( 5 x - 9 )}{3}

∣ 2 x + 5 ∣ + ∣ 3 - 7 x ∣ = 16

∣ x ∣^{2} - ∣ x ∣ + 4 = 2 x^{2} - 3 ∣ x ∣ + 1

∣ x ∣ + 2 ∣ x - 1 ∣ - 3 ∣ x - 2 ∣ = 4

11 + 5 ∣ x - 1 ∣ = 17