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

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

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|2x-1|+2=2

∣ 2 x - 1 ∣ + 2 = 2

x = \frac{1}{2}

Solution steps

∣ 2 x - 1 ∣ + 2 = 2

Subtract

2

from both sides

∣ 2 x - 1 ∣ + 2 - 2 = 2 - 2

Simplify

∣ 2 x - 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

2 x - 1 = 0

2 x - 1 = 0 : x = \frac{1}{2}

x = \frac{1}{2}

∣ u + 115 ∣ = 10

- 4 \frac{x}{6} = - 6

∣ 2 y ∣ - 4 = 16

∣ x - 1 ∣ = x^{2} + 1

∣ a + 3 ∣ = 0