What is the answer to 4|-4x-5|-8=20 ?

The answer to 4|-4x-5|-8=20 is x=-3\lor x= 1/2

Solve for x: 4|-4x-5|-8=20

The solution is x=-3\lor x= 1/2

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4 ∣ - 4 x - 5 ∣ - 8 = 20

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

Decimal

x = - 3, x = 0.5

Solution steps

4 ∣ - 4 x - 5 ∣ - 8 = 20

Move

8

to the right side

4 ∣ - 4 x - 5 ∣ = 28

Divide both sides by

4

∣ - 4 x - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 x - 5 = - 7 or - 4 x - 5 = 7

- 4 x - 5 = - 7 or - 4 x - 5 = 7

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

x^{2} - x - 2 = 4

- 19 + 9 ∣ 4 x - 5 ∣ = 18

∣ 5 x - 2 ∣ = x

2 ∣ x - 3 ∣ + x + 9 = 0

∣ x - 4 ∣ = 12 x + 3

What is the answer to 4|-4x-5|-8=20 ?
The answer to 4|-4x-5|-8=20 is x=-3\lor x= 1/2
Solve for x: 4|-4x-5|-8=20
The solution is x=-3\lor x= 1/2