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

The answer to |x-2|=3x+6 is x=-1

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|x-2|=3x+6

∣ x - 2 ∣ = 3 x + 6

x = - 1

Solution steps

∣ x - 2 ∣ = 3 x + 6

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - 1 or No Solution

x = - 1

6 ∣ x - 3 ∣ = 48

∣ 9 x ∣ - 11 = x

∣ 3 x - 6 ∣ = 18

∣ 6 x + 7 ∣ = - 10

∣ 15 - b ∣ = 18