What is the answer to |x|=3x-1 ?

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

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|x|=3x-1

∣ x ∣ = 3 x - 1

x = \frac{1}{2}

Solution steps

∣ x ∣ = 3 x - 1

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

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

x = \frac{1}{2}

∣ 7 x + 3 ∣ = 6

ln ∣ 5000 - x ∣ = - 2 x

4 = m + \frac{1}{3}

x, ∣ x ∣ = 2 + y

2 ∣ 4 x + 9 ∣ + 1 = - 61