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

The answer to |2x-1|=x+3 is x=-2/3 \lor x=4

Solve for x: |2x-1|=x+3

The solution is x=-2/3 \lor x=4

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∣ 2 x - 1 ∣ = x + 3

x = - \frac{2}{3} or x = 4

Decimal Notation

x = - 0.66666 \dots, x = 4

Solution steps

∣ 2 x - 1 ∣ = x + 3

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{2}{3} or x = 4

∣ 2 x + 4 ∣ + 9 = 5

∣ 3 x ∣ = 2

∣ 3 x ∣ = 0

7 - 4 ∣ a + 1 ∣ = 3

1 - \frac{x}{2} = 1