What is the answer to |x-2|=3|x-6| ?

The answer to |x-2|=3|x-6| is x=5\lor x=8

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|x-2|=3|x-6|

∣ x - 2 ∣ = 3 ∣ x - 6 ∣

x = 5 or x = 8

Solution steps

∣ x - 2 ∣ = 3 ∣ x - 6 ∣

Find positive and negative intervals

x < 2, 2 \leq x < 6, x \geq 6

Solve the inequality for each interval

No Solution or x = 5 or x = 8

x = 5 or x = 8

2 - ∣ x - 7 ∣ = - 3

- 3 ∣ x + 5 ∣ - 2 = 22

5 x - 4 + ∣ x + 5 ∣ = 4 x + 3

2 ∣ 2 x - 4 ∣ - 9 = 11

∣ m - 1 ∣ = 23