Can someone verify if my answers are correct?

Solve. 1/x+6-1/x-6
My answer is: -12/x^2-36

Solve. 1/x+5+2=5/x+5
My answer is: -3

Subtract. Express your answer in simplest form. 13x/30-4x/15
My answer is: x/6

Can someone verify if my answers are correct?
Solve. 1/x+6-1/x-6
My answer is: -12/x^2-36

First, assuming that you do not have any typos, combine like terms.

1/x-1/x = 0
6-6 = 0
0 + 0 = 0


Solve. 1/x+5+2=5/x+5
My answer is: -3

Combine terms and treat both sides of the equation the same way.

1/x +7 = 5/x +5

Subtract 1/x and 5 from both sides.

2 = 4/x

Multiply both sides by x.

2x = 4

You should be able to proceed from there.


Subtract. Express your answer in simplest form. 13x/30-4x/15
My answer is: x/6

Convert to the lowest common denominator, which is 30.

13x/30 - 4x/30 = 9x/30

I hope this helps. Thanks for asking.