What is the answer to |-a-8|+3=13 ?

The answer to |-a-8|+3=13 is a=-18\lor a=2

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|-a-8|+3=13

∣ - a - 8 ∣ + 3 = 13

a = - 18 or a = 2

Solution steps

∣ - a - 8 ∣ + 3 = 13

Move

3

to the right side

∣ - a - 8 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- a - 8 = - 10 or - a - 8 = 10

- a - 8 = - 10 or - a - 8 = 10

a = - 18 or a = 2

∣ 2 x + 1 ∣ = 6 x - 15

∣ x - 4 ∣ + 6 = 17

5 ∣ x + 9 ∣ = 80

3 x + \frac{1}{2} = 6

∣ p + 2 ∣ = 10