What is the answer to |1-4x|=1+x ?

The answer to |1-4x|=1+x is x=0\lor x= 2/3

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|1-4x|=1+x

∣ 1 - 4 x ∣ = 1 + x

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

Decimal Notation

x = 0, x = 0.66666 \dots

Solution steps

∣ 1 - 4 x ∣ = 1 + x

Find positive and negative intervals

x \leq \frac{1}{4}, x > \frac{1}{4}

Solve the inequality for each interval

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

4 ∣ 2 x + 5 ∣ = 8

∣ x - 3.5 ∣ = 0.8

3 ∣ 5 x - 5 ∣ = 90

∣ 3 - 5 x ∣ = 8

∣ 3 x - 9 ∣ - 9 = 5 x + 9