What is the answer to | 1/2 x+5|=3 ?

The answer to | 1/2 x+5|=3 is x=-16\lor x=-4

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| 1/2 x+5|=3

\frac{1}{2} x + 5 = 3

x = - 16 or x = - 4

Solution steps

\frac{1}{2} x + 5 = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{2} x + 5 = - 3 or \frac{1}{2} x + 5 = 3

\frac{1}{2} x + 5 = - 3 or \frac{1}{2} x + 5 = 3

x = - 16 or x = - 4

\frac{x}{5} = 1

3 ∣ 2 x + 2 ∣ - 2 x = x + 3

5 ∣ x - 4 ∣ - 5 = 2

∣ 3 x - 4 ∣ = 11

∣ x + 1 ∣ = x - 3

What is the answer to | 1/2 x+5|=3 ?
The answer to | 1/2 x+5|=3 is x=-16\lor x=-4
Solve for x: | 1/2 x+5|=3
The solution is x=-16\lor x=-4