What is the answer to |3d-4|=14 ?

The answer to |3d-4|=14 is d=-10/3 \lor d=6

Solve for d: |3d-4|=14

The solution is d=-10/3 \lor d=6

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∣ 3 d - 4 ∣ = 14

d = - \frac{10}{3} or d = 6

Solution steps

∣ 3 d - 4 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 d - 4 = - 14 or 3 d - 4 = 14

3 d - 4 = - 14 or 3 d - 4 = 14

d = - \frac{10}{3} or d = 6

∣ - 4 + 5 x ∣ = 2

∣ x - 3 ∣ + 18 = 6

a = ∣ 5 x - 3 ∣ - 4

∣ x + 4 ∣ = - 2

∣ x + 4 ∣ = - 4