What is the answer to 8-3|x+3|=1 ?

The answer to 8-3|x+3|=1 is x=-16/3 \lor x=-2/3

Solve for x: 8-3|x+3|=1

The solution is x=-16/3 \lor x=-2/3

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8 - 3 ∣ x + 3 ∣ = 1

x = - \frac{16}{3} or x = - \frac{2}{3}

Decimal Notation

x = - 5.33333 \dots, x = - 0.66666 \dots

Solution steps

8 - 3 ∣ x + 3 ∣ = 1

Move

8

to the right side

- 3 ∣ x + 3 ∣ = - 7

Divide both sides by

- 3

∣ x + 3 ∣ = \frac{7}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - \frac{7}{3} or x + 3 = \frac{7}{3}

x + 3 = - \frac{7}{3} or x + 3 = \frac{7}{3}

x = - \frac{16}{3} or x = - \frac{2}{3}

∣ - 6 x + 5 ∣ = 8

∣ 4 x - 4 ∣ = 12

\frac{x}{4} = 2

\frac{- 4 - 3 x}{4} = 2

14 - ∣ 3 k + 6 ∣ = 5

What is the answer to 8-3|x+3|=1 ?
The answer to 8-3|x+3|=1 is x=-16/3 \lor x=-2/3
Solve for x: 8-3|x+3|=1
The solution is x=-16/3 \lor x=-2/3