What is the answer to |x+5|=|x-2| ?

The answer to |x+5|=|x-2| is x=-3/2

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|x+5|=|x-2|

∣ x + 5 ∣ = ∣ x - 2 ∣

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

∣ x + 5 ∣ = ∣ x - 2 ∣

Find positive and negative intervals

x < - 5, - 5 \leq x < 2, x \geq 2

Solve the inequality for each interval

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

x = - \frac{3}{2}

(\frac{1}{27})^{\frac{1}{3}}

7 x^{2} = 252

- 6 v^{2} - 11 v - 4

5 y = 5

6 x - 3 (5 x + 2) = 5 (1 - x)