What is the answer to |1-x|=5x ?

The answer to |1-x|=5x is x= 1/6

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|1-x|=5x

∣ 1 - x ∣ = 5 x

x = \frac{1}{6}

Decimal Notation

x = 0.16666 \dots

Solution steps

∣ 1 - x ∣ = 5 x

Find positive and negative intervals

x \leq 1, x > 1

Solve the inequality for each interval

x = \frac{1}{6} or No Solution

x = \frac{1}{6}

∣ 4 x - 15 ∣ + 1 = 18

- 4 = - ∣ x - 8 ∣ + 5

2 ∣ 3 x + 2 ∣ + 1 = 3

- 4 = - ∣ x - 8 ∣ - 2

- 4 = - ∣ x - 8 ∣ - 1