What is the answer to |3x+1/2 |=6 ?

The answer to |3x+1/2 |=6 is x=-13/6 \lor x= 11/6

Solve for x: |3x+1/2 |=6

The solution is x=-13/6 \lor x= 11/6

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3 x + \frac{1}{2} = 6

x = - \frac{13}{6} or x = \frac{11}{6}

Decimal Notation

x = - 2.16666 \dots, x = 1.83333 \dots

Solution steps

3 x + \frac{1}{2} = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + \frac{1}{2} = - 6 or 3 x + \frac{1}{2} = 6

3 x + \frac{1}{2} = - 6 or 3 x + \frac{1}{2} = 6

x = - \frac{13}{6} or x = \frac{11}{6}

∣ p + 2 ∣ = 10

∣ x ∣ = - x^{3}

∣ z ∣ + (z) = 0

∣ 7 x ∣ = 28

3 ∣ x - 6 ∣ = 12

What is the answer to |3x+1/2 |=6 ?
The answer to |3x+1/2 |=6 is x=-13/6 \lor x= 11/6
Solve for x: |3x+1/2 |=6
The solution is x=-13/6 \lor x= 11/6