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

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

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2x+|x-1|=5

2 x + ∣ x - 1 ∣ = 5

x = 2

Solution steps

2 x + ∣ x - 1 ∣ = 5

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = 2

x = 2

10 = ∣ n ∣ + 5

∣ 15 + m ∣ = - 2 m + 3

∣ x ∣ - 12 = - 20

\frac{∣ 2 - x ∣}{2} = 4 x

∣ 3 x - 2 ∣ - 18 = x