What is the answer to |2x+1|=5x ?

The answer to |2x+1|=5x is x= 1/3

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|2x+1|=5x

∣ 2 x + 1 ∣ = 5 x

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

∣ 2 x + 1 ∣ = 5 x

Find positive and negative intervals

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

Solve the inequality for each interval

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

x = \frac{1}{3}

- 2 = - ∣ z + 3 ∣ + 3

∣ 3 x - 7 ∣ = 4

∣ 2 x + 1 ∣ = 3 x

2 ∣ 4 x - 6 ∣ = 28

14 = ∣ t + 1 ∣ - 9