What is the answer to | 1/2 x+1|+4=9 ?

The answer to | 1/2 x+1|+4=9 is x=-12\lor x=8

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| 1/2 x+1|+4=9

\frac{1}{2} x + 1 + 4 = 9

x = - 12 or x = 8

Solution steps

\frac{1}{2} x + 1 + 4 = 9

Move

4

to the right side

\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

6 ∣ x ∣ - 9 = 15

x \cdot ∣ x - 3 ∣ - 2 = 0

∣ 7 x - 12 ∣ = ∣ 4 - 3 x ∣

∣ 4 d - 1 ∣ = ∣ 6 d + 9 ∣

\frac{h}{8} = 4

What is the answer to | 1/2 x+1|+4=9 ?
The answer to | 1/2 x+1|+4=9 is x=-12\lor x=8
Solve for x: | 1/2 x+1|+4=9
The solution is x=-12\lor x=8