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

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

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|2x+6|=|x|

∣ 2 x + 6 ∣ = ∣ x ∣

x = - 6 or x = - 2

Solution steps

∣ 2 x + 6 ∣ = ∣ x ∣

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 6 or x = - 2 or No Solution

x = - 6 or x = - 2

8 x + 7 = 31

3 (x + 1) = 21

216 x^{3} + 64

4 + \frac{4}{3}

(\frac{1}{32})^{- \frac{3}{5}}