yes. you are right. Apology for the typo mistake.

If we rearrange we are left with quantity A being 8x and quantity B being 8. Then, since there are no restrictions about x, it can be whatever.
E.g. if x = 1, then the two quantities are equal
if x = -2, then quantity B is greater
if x = 2, then quantity A is greater.

Thus the answer is D

We can solve this question using matching operations

Given:
Quantity A: 10x + 2
Quantity B: 2x + 10


Subtract 2x from both quantities to get:
Quantity A: 8x + 2
Quantity B: 10

Subtract 2 from both quantities to get:
Quantity A: 8x
Quantity B: 8

Divide both quantities by 8 to get:
Quantity A: x
Quantity B: 1

Since we have no information about x, quantity A COULD be greater than, less than or equal to quantity B
Answer:

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Quantity A and Quantity B need to be simplified first, so we will able to decide about the answer without plugin.

Quantity A: 10x + 2
Quantity B: 2x + 10

If we subtract any value from the two Quantities, the resultant will not change the greater quantity to less. So we can subtract by same value.

So let's subtract by (2x +2) from both Quantity A and Quantity B, we'll get:

Quantity A: 8x
Quantity B: 8

Finally, we can decide easily that x can be positive, negative or zero. Thus, Choice D is correct.

if the x is negative than the right answer is A. If it is positive then the answer is B. Hence the right answer is D