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

The answer to |3x+1|-1=8 is x=-10/3 \lor x= 8/3

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

The solution is x=-10/3 \lor x= 8/3

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∣ 3 x + 1 ∣ - 1 = 8

x = - \frac{10}{3} or x = \frac{8}{3}

Decimal

x = - 3.33333 \dots, x = 2.66666 \dots

Solution steps

∣ 3 x + 1 ∣ - 1 = 8

Move

1

to the right side

∣ 3 x + 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 9 or 3 x + 1 = 9

3 x + 1 = - 9 or 3 x + 1 = 9

x = - \frac{10}{3} or x = \frac{8}{3}

∣ 5 x - 6 ∣ = x + 5

∣ x ∣ + 6 = 10

2 ∣ 3 x + 1 ∣ + 6 = 14

∣ 2 x + 8 ∣ = - 2 (x + 3)

\frac{∣ h - 5 ∣}{6} = 8

What is the answer to |3x+1|-1=8 ?
The answer to |3x+1|-1=8 is x=-10/3 \lor x= 8/3
Solve for x: |3x+1|-1=8
The solution is x=-10/3 \lor x= 8/3