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

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

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

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

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∣ 2 x - 1 ∣ + x = 3

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

Decimal Notation

x = - 2, x = 1.33333 \dots

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

b ∣ 3 x + 6 ∣ - ∣ 2 x - 1 ∣ = 5

x^{2} - 1 = ∣ x + 3 ∣

∣ 5 u + 10 ∣ = 15 u

x^{2} - 1 = ∣ 2 x - 1 ∣

∣ 2 - 3 x ∣ - x = 0