Respuesta :

let the number be x
(1/6)x - 2  = -2/3

multiply each term by 6:-

x -12 = -4
x = 12 - 4
x = 8

the required number is 8.

Answer: The number would be 8.

Step-by-step explanation:

Since we have given that

The sum of one-sixth of a number and negative two is equal to negative two-thirds.

Let the number be 'x'.

So,it will be expressed as

[tex]\dfrac{1}{6}x-2=-\dfrac{2}{3}[/tex]

Now, we'll go for finding the value of 'x'.

[tex]\dfrac{x}{6}=-\dfrac{2}{3}+2\\\\\dfrac{x}{6}=\dfrac{-2+6}{3}=\dfrac{4}{3}\\\\x=\dfrac{4\times 6}{3}\\\\x=\dfrac{24}{3}\\\\x=8[/tex]

Hence, the number would be 8.