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

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

Solve for x: |3x|=1-|x|

The solution is x=-1/4 \lor x= 1/4

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∣ 3 x ∣ = 1 - ∣ x ∣

x = - \frac{1}{4} or x = \frac{1}{4}

Decimal

x = - 0.25, x = 0.25

Solution steps

∣ 3 x ∣ = 1 - ∣ x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{1}{4} or x = \frac{1}{4}

2 ∣ x - 1 ∣ = x + 2

x, 2 ∣ 3 x + 1 ∣ + 6 = 4

\frac{1}{3} x = 2

2 ∣ x - 5 ∣ = 10

∣ x ∣ + 3 = 15 - ∣ x ∣

What is the answer to |3x|=1-|x| ?
The answer to |3x|=1-|x| is x=-1/4 \lor x= 1/4
Solve for x: |3x|=1-|x|
The solution is x=-1/4 \lor x= 1/4