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

The answer to |2x-1|=5x is x= 1/7

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|2x-1|=5x

∣ 2 x - 1 ∣ = 5 x

x = \frac{1}{7}

Decimal Notation

x = 0.14285 \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

x = \frac{1}{7} or No Solution

x = \frac{1}{7}

9 \frac{b}{2} - 4 = 32

∣ 4 x - 7 ∣ = 13

∣ x + 8 ∣ = 9

6 - ∣ 3 x + 6 ∣ = 3

4 ∣ m ∣ = - 20