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

The answer to |x-2|=3x is x= 1/2

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|x-2|=3x

∣ x - 2 ∣ = 3 x

x = \frac{1}{2}

Solution steps

∣ x - 2 ∣ = 3 x

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = \frac{1}{2} or No Solution

x = \frac{1}{2}

5 + ∣ x - 2 ∣ = 7

∣ 0.5 x + 3 ∣ = x^{2} - 4

∣ x + 4 ∣ = - 7

∣ x + 4 ∣ = 2 x

35 = ∣ x - 6 ∣