What is the answer to 4x-|x+1|=0 ?

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

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4x-|x+1|=0

4 x - ∣ x + 1 ∣ = 0

x = \frac{1}{3}

Solution steps

4 x - ∣ x + 1 ∣ = 0

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

No Solution or x = \frac{1}{3}

x = \frac{1}{3}

2 x^{2} = 12 x

∣ 3 x + 2 ∣ = ∣ 7 x + 3 ∣

\frac{m + 1}{2} - \frac{1}{6} < \frac{m}{6} - \frac{m - 5}{3}

5 x + 2 \geq - 18

2 0^{0}