What is the answer to | 1/2 x-2|=14 ?

The answer to | 1/2 x-2|=14 is x=-24\lor x=32

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| 1/2 x-2|=14

\frac{1}{2} x - 2 = 14

x = - 24 or x = 32

Solution steps

\frac{1}{2} x - 2 = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{2} x - 2 = - 14 or \frac{1}{2} x - 2 = 14

\frac{1}{2} x - 2 = - 14 or \frac{1}{2} x - 2 = 14

x = - 24 or x = 32

x^{2} - 7 x = 12

∣ 2 x ∣ = - 7

∣ x + 3 ∣ + ∣ x - 1 ∣ = 6

∣ 2 x ∣ = - 9

4 ∣ 8 x - 6 ∣ = 5 ∣ - 8 x + 7 ∣

What is the answer to | 1/2 x-2|=14 ?
The answer to | 1/2 x-2|=14 is x=-24\lor x=32
Solve for x: | 1/2 x-2|=14
The solution is x=-24\lor x=32