What is the answer to |3x-2|=|x+2| ?

The answer to |3x-2|=|x+2| is x=0\lor x=2

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|3x-2|=|x+2|

∣ 3 x - 2 ∣ = ∣ x + 2 ∣

x = 0 or x = 2

Solution steps

∣ 3 x - 2 ∣ = ∣ x + 2 ∣

Find positive and negative intervals

x < - 2, - 2 \leq x < \frac{2}{3}, x \geq \frac{2}{3}

Solve the inequality for each interval

No Solution or x = 0 or x = 2

x = 0 or x = 2

\frac{x}{5} + 2 x = \frac{16}{7} - x

(25)^{\frac{- 3}{2}}

3 B = 2 B

4 t - 3 (t + 6) > - 5

2 x^{2} - 3 x - 1 < 0