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

The answer to |2x-5|=2 is x= 3/2 \lor x= 7/2

Solve for x: |2x-5|=2

The solution is x= 3/2 \lor x= 7/2

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∣ 2 x - 5 ∣ = 2

x = \frac{3}{2} or x = \frac{7}{2}

Decimal Notation

x = 1.5, x = 3.5

Solution steps

∣ 2 x - 5 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 2 or 2 x - 5 = 2

2 x - 5 = - 2 or 2 x - 5 = 2

x = \frac{3}{2} or x = \frac{7}{2}

∣ x - 9 ∣ = - 7

∣ 8 b ∣ - 1 = 16

5 ∣ 6 n - 2 ∣ + 4 = - 36

∣ 2 x ∣ = 2

- ∣ x ∣ = 5