What is the answer to |x+3|=|x| ?

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

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|x+3|=|x|

∣ x + 3 ∣ = ∣ x ∣

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

∣ x + 3 ∣ = ∣ x ∣

Find positive and negative intervals

x < - 3, - 3 \leq x < 0, x \geq 0

Solve the inequality for each interval

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

x = - \frac{3}{2}

\frac{x - 1}{3} = \frac{3 x + 1}{12}

15 x y^{3} (9 x^{5} y^{4})

2 x^{3} + 5 x^{2} < 8 x + 20

6 k^{2} + 11 k - 46 = 0

(\frac{1}{2})^{4} \cdot (\frac{1}{2})^{2}