What is the answer to |2x-4|=5 ?

The answer to |2x-4|=5 is x=-1/2 \lor x= 9/2

Solve for x: |2x-4|=5

The solution is x=-1/2 \lor x= 9/2

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∣ 2 x - 4 ∣ = 5

x = - \frac{1}{2} or x = \frac{9}{2}

Decimal Notation

x = - 0.5, x = 4.5

Solution steps

∣ 2 x - 4 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 4 = - 5 or 2 x - 4 = 5

2 x - 4 = - 5 or 2 x - 4 = 5

x = - \frac{1}{2} or x = \frac{9}{2}

∣ x + 3 ∣ + 2.5 = 3

x^{2} - 4 x = 0

∣ 4 x - 15 ∣ = 5

∣ 9 + 2 x ∣ = 3

∣ x + 5 ∣ = - 1