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

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

Solve for x: |2x-1|=x+2

The solution is x=-1/3 \lor x=3

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∣ 2 x - 1 ∣ = x + 2

x = - \frac{1}{3} or x = 3

Decimal Notation

x = - 0.33333 \dots, x = 3

Solution steps

∣ 2 x - 1 ∣ = x + 2

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{1}{3} or x = 3

∣ 5 y - 2 ∣ = 0

∣ 7 x + 21 ∣ = 14 x

5 ∣ m + 2 ∣ + 10 = 50

∣ x - 1 ∣ = - 6

∣ x - 1 ∣ = - 5