What is the answer to 15=|d|-3 ?

The answer to 15=|d|-3 is d=-18\lor d=18

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15=|d|-3

15 = ∣ d ∣ - 3

d = - 18 or d = 18

Solution steps

15 = ∣ d ∣ - 3

Switch sides

∣ d ∣ - 3 = 15

Move

3

to the right side

∣ d ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

d = - 18 or d = 18

∣ 5 x + 3 ∣ + 2 x - 7 = 21

5 ∣ 3 x - 7 ∣ = 10

x - \frac{3}{8} = 2

∣ 3 x + 1 ∣ = x + 5

- 3 + 4 ∣ 5 x - 3 ∣ = 25