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

The answer to |x|=-3x+1 is x= 1/4

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|x|=-3x+1

∣ x ∣ = - 3 x + 1

x = \frac{1}{4}

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}{4}

x = \frac{1}{4}

∣ w - 5 ∣ + 9 = 22

49 = ∣ u + 7 ∣

∣ - 14 x + 4 ∣ + 7 = 2

10 ∣ 1 + 3 p ∣ = 40

3 ∣ 2 x - 5 ∣ - 5 = 4