Question

Please take a look at the picture

Answer 1

`\implies {\blue {\boxed {\boxed {\purple {\sf {C.\:None\:of\:the\:above.}}}}}}` ✔

`\:\large{\boxed{\frak{ Step-by-step\:explanation: }}}`

A.
`x - ( - x) = -x`

Let us first solve for L. H. S.

We have,

`x - ( - x)`

`= x + x`

`= 2x`

`≠ - x`

`≠ R. H. S.`

Hence, option A is incorrect.

B.
`0 - ( - x) = - x`

Solving for L.H.S. , we have

`= 0 - ( - x)`

`= + x`

`≠ - x`

`≠ R. H. S.`

Hence, option B is ruled out too.

Therefore, the correct answer is
`\sf\red{ option\:C}`.