Answer:
x = -72
Step-by-step explanation:
Let the number be x.
The quotient of number and -6 is written as :
[tex]\dfrac{x}{-6}[/tex]
Now the quotient is increased by 2 i.e.
[tex]\dfrac{x}{-6}+2=14[/tex]
Now we can solve it as follows :
Subtract 14 from both sides,
[tex]\dfrac{x}{-6}+2-14=14-14\\\\\dfrac{x}{-6}-12=0\\\\\dfrac{x}{-6}=12\\\\x=-72[/tex]
So, the value of x is equal to -72.