What is the answer to |2x|=3x+1 ?

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

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|2x|=3x+1

∣ 2 x ∣ = 3 x + 1

x = - \frac{1}{5}

Decimal Notation

x = - 0.2

Solution steps

∣ 2 x ∣ = 3 x + 1

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{1}{5} or No Solution

x = - \frac{1}{5}

∣ x - 10 ∣ = 4

8 - 12 ∣ k + 4 ∣ = - 4

∣ 2 x + 7 ∣ = x - 4

∣ 4 - y ∣ = 6

∣ y ∣ = - 7