What is the answer to |3x+2|=1 ?

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

Solve for x: |3x+2|=1

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

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∣ 3 x + 2 ∣ = 1

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

Decimal Notation

x = - 1, x = - 0.33333 \dots

Solution steps

∣ 3 x + 2 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 1 or 3 x + 2 = 1

3 x + 2 = - 1 or 3 x + 2 = 1

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

- (\frac{7}{2})^{0}

(14 x^{3} y^{2} z)^{4}

\frac{2 ( x + 1 )}{3} = \frac{3 ( 2 x - 1 )}{2}

- 4 < x < - 1

7 - \frac{3}{2} a + (\frac{1}{2} a - \frac{11}{2}) = 2 a + \frac{3}{4} - (\frac{1}{2} + \frac{1}{2} a)