What is the answer to |x+8|=3.5 ?

The answer to |x+8|=3.5 is x=-11.5\lor x=-4.5

Solve for x: |x+8|=3.5

The solution is x=-11.5\lor x=-4.5

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∣ x + 8 ∣ = 3.5

x = - 11.5 or x = - 4.5

Solution steps

∣ x + 8 ∣ = 3.5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 8 = - 3.5 or x + 8 = 3.5

x + 8 = - 3.5 or x + 8 = 3.5

x = - 11.5 or x = - 4.5

3 ∣ 3 - x ∣ - 4 ∣ 2 x + 1 ∣ = 2

∣ x ∣ + ∣ x + 1 ∣ + ∣ x + 2 ∣ = 3

∣ x - 2 ∣ + ∣ x ∣ = x^{2} - 2 x

x + 2 = 3

∣ x - 1 ∣ + ∣ x - 2 ∣ = 5