The minus sign represents a number of concepts in maths.
The basic two are negative numbers and subtraction.
For example: $2-(-2)$ , would be read “two minus negative two”.
When teaching maths to middle school children I get them to make this distinction when reading. It forces then to distinguish the concepts of negative numbers and the subtraction operation. Sal Khan from Khan Academy always makes this distinction. He would never read -2 as minus two. It is a negative two.
I agree that saying ''minus'' every time is common even among mathematicians. But they already understand the function of the sign in the context that they see it. So $-(-3-(-1))$ could be read as ''minus minus three minus minus one''. But I would like students and myself to be able to distinguish what the sign is doing in each case and express that in words. ''the additive inverse of negative three minus negative one''.
But what about $-x$?
We don't know if $x$ is positive or negative and this is not subtraction. I read somewhere that this should be read as “the additive inverse of $x$”. Is this true ?
If $-x$ would be read as “the additive inverse of x” then what about $-(2)$ ? Would it be ''the additive inverse of two''.
Thirdly, what about a number-variable term like $-2x$ ? “the additive inverse of two x”?
Finally, if $-x$ is “the additive inverse of $x$” then what about $\pm x$ ? ''the something or inverse of $x$”. What is the opposite of additive inverse ?