What is the answer to 9-|1-x|=2x ?

The answer to 9-|1-x|=2x is x= 10/3

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9-|1-x|=2x

9 - ∣ 1 - x ∣ = 2 x

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

9 - ∣ 1 - x ∣ = 2 x

Find positive and negative intervals

x \leq 1, x > 1

Solve the inequality for each interval

No Solution or x = \frac{10}{3}

x = \frac{10}{3}

∣ 6 x + 3 ∣ = 27

- ∣ 2 x - 3 ∣ + 6 = 6 - x

∣ 2 x + 2 ∣ = - 4

8 x + 20 = - ∣ 2 x + 4 ∣

∣ x - 1 ∣ = x - 1