What is the answer to 8-|3x+2|=3 ?

The answer to 8-|3x+2|=3 is x=-7/3 \lor x=1

Solve for x: 8-|3x+2|=3

The solution is x=-7/3 \lor x=1

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8 - ∣ 3 x + 2 ∣ = 3

x = - \frac{7}{3} or x = 1

Decimal Notation

x = - 2.33333 \dots, x = 1

Solution steps

8 - ∣ 3 x + 2 ∣ = 3

Move

8

to the right side

- ∣ 3 x + 2 ∣ = - 5

Divide both sides by

- 1

∣ 3 x + 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 5 or 3 x + 2 = 5

3 x + 2 = - 5 or 3 x + 2 = 5

x = - \frac{7}{3} or x = 1

\frac{2 x - 1}{3} - \frac{3 x}{4} = \frac{5}{6}

\frac{7}{4} - \frac{7}{12}

7 x - 2 x - x > 24 + 3 x

\frac{x + 2}{x - 3} \leq 5

38 (y + 15) (y - 17) = 0