What is the answer to |x|-8=-5 ?

The answer to |x|-8=-5 is x=-3\lor x=3

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|x|-8=-5

∣ x ∣ - 8 = - 5

x = - 3 or x = 3

Solution steps

∣ x ∣ - 8 = - 5

Move

8

to the right side

∣ x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 3 or x = 3

∣ 5 b + 9 - 2 b ∣ + 9 = 6 b

∣ 9 - 2 x ∣ = 1

∣ 3 x - 5 ∣ - 9 = 2

\frac{1}{4} x - 5 = 8

b^{2} = b^{2}