What is the answer to 2|x-3|=5 ?

The answer to 2|x-3|=5 is x= 1/2 \lor x= 11/2

Solve for x: 2|x-3|=5

The solution is x= 1/2 \lor x= 11/2

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2 ∣ x - 3 ∣ = 5

x = \frac{1}{2} or x = \frac{11}{2}

Decimal Notation

x = 0.5, x = 5.5

Solution steps

2 ∣ x - 3 ∣ = 5

Divide both sides by

2

∣ x - 3 ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - \frac{5}{2} or x - 3 = \frac{5}{2}

x - 3 = - \frac{5}{2} or x - 3 = \frac{5}{2}

x = \frac{1}{2} or x = \frac{11}{2}

∣ x - 1 ∣ + 1 = 0

2 ∣ x - 2 ∣ - 12 = 0

2 ∣ x + 4 ∣ - 5 = 7

∣ 5 - 12 x ∣ = 7

5 ∣ x - 6 ∣ - 7 = 2