What is the answer to |2x-6|=1 ?

The answer to |2x-6|=1 is x= 5/2 \lor x= 7/2

Solve for x: |2x-6|=1

The solution is x= 5/2 \lor x= 7/2

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∣ 2 x - 6 ∣ = 1

x = \frac{5}{2} or x = \frac{7}{2}

Solution steps

∣ 2 x - 6 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 6 = - 1 or 2 x - 6 = 1

2 x - 6 = - 1 or 2 x - 6 = 1

x = \frac{5}{2} or x = \frac{7}{2}

x^{2} + ∣ x - 2 ∣ = 0

∣ 9 q + 3 ∣ = \frac{2}{5}

p^{0.1} = ∣ p + 4 ∣

1 = ∣ 2 x - 5 ∣

∣ 8 y - 4 ∣ = 24