What is the answer to | 1/2 x+4|=2 ?

The answer to | 1/2 x+4|=2 is x=-12\lor x=-4

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| 1/2 x+4|=2

\frac{1}{2} x + 4 = 2

x = - 12 or x = - 4

Solution steps

\frac{1}{2} x + 4 = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{2} x + 4 = - 2 or \frac{1}{2} x + 4 = 2

\frac{1}{2} x + 4 = - 2 or \frac{1}{2} x + 4 = 2

x = - 12 or x = - 4

2 ∣ 2 x - 6 ∣ = 8

∣ 4 x + 7 ∣ - 2 = 26

∣ x ∣ = x + 1

∣ 2 x + 5 ∣ = 6 x - 3

4 ∣ x - 7 ∣ - 2 = 10

What is the answer to | 1/2 x+4|=2 ?
The answer to | 1/2 x+4|=2 is x=-12\lor x=-4
Solve for x: | 1/2 x+4|=2
The solution is x=-12\lor x=-4