What is the answer to | x/8 |=4 ?

The answer to | x/8 |=4 is x=-32\lor x=32

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| x/8 |=4

\frac{x}{8} = 4

x = - 32 or x = 32

Solution steps

\frac{x}{8} = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{8} = - 4 or \frac{x}{8} = 4

\frac{x}{8} = - 4 or \frac{x}{8} = 4

x = - 32 or x = 32

- 3 ∣ w + 5 ∣ = - 33

- 5 = - \frac{1}{2} ∣ x + 4 ∣ - 2

\frac{3 x - 1}{4} = 7

1.2 ∣ 5 x ∣ = 3.6

∣ 2 x ∣ - 5 = 0