What is the answer to 0=3|x+4|-4 ?

The answer to 0=3|x+4|-4 is x=-16/3 \lor x=-8/3

Solve for x: 0=3|x+4|-4

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

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0 = 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

0 = 3 ∣ x + 4 ∣ - 4

Switch sides

3 ∣ x + 4 ∣ - 4 = 0

Move

4

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}

∣ 2 x + 1 ∣ - 5 = 8

∣ - 2.9 x ∣ - 3 = 20.2

∣ 7 x ∣ = 35

∣ 2 x - 8 ∣ = 8

∣ 2 - 8 x ∣ = 22

What is the answer to 0=3|x+4|-4 ?
The answer to 0=3|x+4|-4 is x=-16/3 \lor x=-8/3
Solve for x: 0=3|x+4|-4
The solution is x=-16/3 \lor x=-8/3