What is the answer to |2x-6|=|x| ?

The answer to |2x-6|=|x| is x=2\lor x=6

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|2x-6|=|x|

∣ 2 x - 6 ∣ = ∣ x ∣

x = 2 or x = 6

Solution steps

∣ 2 x - 6 ∣ = ∣ x ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 2 or x = 6

x = 2 or x = 6

- 4.5 x^{2} + 72 = 0

464

10 x^{2} + 71 x + 7

x^{7} - 256 x^{3}

(x + 7)^{4} \leq 0