What is the answer to | x/2 |-2=4 ?

The answer to | x/2 |-2=4 is x=-12\lor x=12

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| x/2 |-2=4

\frac{x}{2} - 2 = 4

x = - 12 or x = 12

Solution steps

\frac{x}{2} - 2 = 4

Move

2

to the right side

\frac{x}{2} = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{2} = - 6 or \frac{x}{2} = 6

\frac{x}{2} = - 6 or \frac{x}{2} = 6

x = - 12 or x = 12

- 5 = 5 ∣ c ∣

∣ x - 12 ∣ = 24

∣ 7 - 4 x ∣ - 7 = 26

450 = 3 ∣ 450 - 6 t ∣

7 ∣ g - 8 ∣ = 7