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

The answer to 1-|2x-1|=x is x=0\lor x= 2/3

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1-|2x-1|=x

1 - ∣ 2 x - 1 ∣ = x

x = 0 or x = \frac{2}{3}

Decimal Notation

x = 0, x = 0.66666 \dots

Solution steps

1 - ∣ 2 x - 1 ∣ = x

Find positive and negative intervals

x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

x = 0 or x = \frac{2}{3}

∣ t - 4 ∣ = 1

∣ t - 4 ∣ = 7

8 ∣ b + 70 ∣ = 40

∣ 11 x - 57 ∣ = - 53

∣ 3 x + 4 ∣ - 6 = 2 x