Question

Which expression is equivalent to 12/x + (-7) - 2/14 - (-2) ?

A) 1/2 x - 7 - 2/14 + 2
B) 1/2 x - 9 - 2/14
C) 1/2 x - 7 + 2/14 + 2
D) 1/2x - 9 + 2/14

Answer 1

The expression 12/x + (-7) - 2/14 - (-2) simplifies to 12/x - 5 - 1/7 given that -7 - (-2) equals -5, and -2/14 simplifies to -1/7. None of the provided options match this simplified expression.

The correct answer is none of all.

Step-by-step explanation:

The expression 12/x + (-7) - 2/14 - (-2) needs to be simplified by combining like terms. First, do not confuse the division by 'x' as an indication to rewrite 12 as 1/2. Instead, focus on simplifying the expression as it is. The expression already combines variable terms with 'x' and constant terms separately. We will calculate the constant terms: -7 - (-2) = -7 + 2 = -5, and the fraction -2/14 can be simplified to -1/7.

So, the simplified version of the expression is 12/x - 5 - 1/7.

None of the given options (A, B, C, D) in the original question matches this result, so our answer would be None of the above.