What is the answer to |x-8|=|3x| ?

The answer to |x-8|=|3x| is x=-4\lor x=2

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|x-8|=|3x|

∣ x - 8 ∣ = ∣ 3 x ∣

x = - 4 or x = 2

Solution steps

∣ x - 8 ∣ = ∣ 3 x ∣

Find positive and negative intervals

x < 0, 0 \leq x < 8, x \geq 8

Solve the inequality for each interval

x = - 4 or x = 2 or No Solution

x = - 4 or x = 2

- 4 ∣ x + 5 ∣ + 7 = x + 3

∣ - m - 8 ∣ = 2

- 2 ∣ d ∣ = - 2

∣ x - 3 ∣ + 9 = 7

- 7 - 7 \frac{a}{5} = - 21