What is the answer to 8-3|x+4|=4 ?

The answer to 8-3|x+4|=4 is x=-16/3 \lor x=-8/3

Solve for x: 8-3|x+4|=4

The solution is x=-16/3 \lor x=-8/3

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8 - 3 ∣ x + 4 ∣ = 4

x = - \frac{16}{3} or x = - \frac{8}{3}

Decimal Notation

x = - 5.33333 \dots, x = - 2.66666 \dots

Solution steps

8 - 3 ∣ x + 4 ∣ = 4

Move

8

to the right side

- 3 ∣ x + 4 ∣ = - 4

Divide both sides by

- 3

∣ x + 4 ∣ = \frac{4}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 4 = - \frac{4}{3} or x + 4 = \frac{4}{3}

x + 4 = - \frac{4}{3} or x + 4 = \frac{4}{3}

x = - \frac{16}{3} or x = - \frac{8}{3}

x^{2} - 2 x = 8

3 ∣ x - 5 ∣ - 14 = - 2

3 ∣ x + 11 ∣ = 24

- 5 ∣ x - 1 ∣ + 2 = - 18

- 3 ∣ 2 x + 1 ∣ = 21

What is the answer to 8-3|x+4|=4 ?
The answer to 8-3|x+4|=4 is x=-16/3 \lor x=-8/3
Solve for x: 8-3|x+4|=4
The solution is x=-16/3 \lor x=-8/3