What is the answer to 9-3|x+3|=1 ?

The answer to 9-3|x+3|=1 is x=-17/3 \lor x=-1/3

Solve for x: 9-3|x+3|=1

The solution is x=-17/3 \lor x=-1/3

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9 - 3 ∣ x + 3 ∣ = 1

x = - \frac{17}{3} or x = - \frac{1}{3}

Solution steps

9 - 3 ∣ x + 3 ∣ = 1

Move

9

to the right side

- 3 ∣ x + 3 ∣ = - 8

Divide both sides by

- 3

∣ x + 3 ∣ = \frac{8}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{17}{3} or x = - \frac{1}{3}

7 ∣ x - 2 ∣ = 10

∣ x - 5 ∣ = 5

1 + ∣ 2 + x ∣ = 9

5 - 8 ∣ 2 x ∣ = - 75

∣ x + 5 ∣ + 3 = 1

What is the answer to 9-3|x+3|=1 ?
The answer to 9-3|x+3|=1 is x=-17/3 \lor x=-1/3
Solve for x: 9-3|x+3|=1
The solution is x=-17/3 \lor x=-1/3