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

The answer to | 1/2 x+1|=5 is x=-12\lor x=8

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| 1/2 x+1|=5

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

x = - 12 or x = 8

Solution steps

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 12 or x = 8

∣ x - 9 ∣ = 0

3 - ∣ x + 2 ∣ = - 5

5 - 2 x + 11 = 21 - ∣ 7 - 3 x ∣

∣ 5 x - 8 ∣ + 3 = 4

\frac{- 7 x + 2}{5} = 4

What is the answer to | 1/2 x+1|=5 ?
The answer to | 1/2 x+1|=5 is x=-12\lor x=8
Solve for x: | 1/2 x+1|=5
The solution is x=-12\lor x=8