What is the answer to -5=-1/2 |x+4|-2 ?

The answer to -5=-1/2 |x+4|-2 is x=-10\lor x=2

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-5=-1/2 |x+4|-2

- 5 = - \frac{1}{2} ∣ x + 4 ∣ - 2

x = - 10 or x = 2

Solution steps

- 5 = - \frac{1}{2} ∣ x + 4 ∣ - 2

Switch sides

- \frac{1}{2} ∣ x + 4 ∣ - 2 = - 5

Move

2

to the right side

- \frac{1}{2} ∣ x + 4 ∣ = - 3

Multiply both sides by

- 2

∣ x + 4 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 4 = - 6 or x + 4 = 6

x + 4 = - 6 or x + 4 = 6

x = - 10 or x = 2

\frac{3 x - 1}{4} = 7

1.2 ∣ 5 x ∣ = 3.6

∣ 2 x ∣ - 5 = 0

∣ 2 x ∣ - 5 = 7

∣ 5 x - 7 ∣ = 2 x + 5

What is the answer to -5=-1/2 |x+4|-2 ?
The answer to -5=-1/2 |x+4|-2 is x=-10\lor x=2
Solve for x: -5=-1/2 |x+4|-2
The solution is x=-10\lor x=2