For $\dfrac{x + 0.5}{6x - 1} = \dfrac{1}{2}$ , the value of x is:

1. $\dfrac{1}{2}$

2. $-\dfrac{1}{2}$

3. 2

4. -2

$\dfrac{x + 0.5}{6x - 1} = \dfrac{1}{2}$

On cross multiplying, we get

⇒ (x + 0.5) $\times$ 2 = 1 $\times$ (6x - 1)

⇒ 2 $\times$ x + 2 $\times$ 0.5 = 1 $\times$ 6x - 1 $\times$ 1

⇒ 2x + 1 = 6x - 1

⇒ 6x - 2x = 1 + 1

⇒ 4x = 2

⇒ x = $\dfrac{2}{4}$

⇒ x = $\dfrac{1}{2}$

Hence, option 1 is the correct option.