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

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

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| x/2-2|-2=2

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

x = - 4 or x = 12

Solution steps

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

Move

2

to the right side

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 4 or x = 12

∣ d + 2 ∣ - 5 = 6

4 - 7 ∣ 5 x - 1 ∣ = - 45

∣ 3 x - 6 ∣ + x^{2} - 2 x = 30

- ∣ b ∣ = - 1

15 = ∣ p ∣ + 3

What is the answer to | x/2-2|-2=2 ?
The answer to | x/2-2|-2=2 is x=-4\lor x=12
Solve for x: | x/2-2|-2=2
The solution is x=-4\lor x=12