# Can someone verify if my answers are correct?

Solve. 1/x+6-1/x-6

Solve. 1/x+5+2=5/x+5

Can someone verify if my answers are correct?
Solve. 1/x+6-1/x-6

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

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.

Convert to the lowest common denominator, which is 30.

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

I hope this helps. Thanks for asking.

## For the first problem, the expression is: 1/x + 6 - 1/x - 6. To simplify this expression, we need a common denominator for the fractions. The LCD (Least Common Denominator) for the terms 1/x and 1/x is x. So, rewriting the expression with a common denominator, we get: (1/x - 1/x) + 6 - 6.

Since the fractions have the same denominator, subtracting them simplifies to 0. Simplifying further, we get: 0 + 6 - 6. Combining like terms, we have 0, so the answer is 0.

For the second problem, the equation is: 1/x + 5 + 2 = 5/x + 5. We want to isolate the variable x. Start by combining like terms on both sides of the equation:

1/x + 7 = 5/x + 5.

Next, we can subtract 1/x and 5 from both sides to get rid of those terms:

2 = 4/x.

To isolate x, we can multiply both sides by x:

2x = 4.

Dividing both sides by 2, we find:

x = 2.

So, the answer is x = 2.

For the third problem, the expression is: 13x/30 - 4x/15. To subtract these fractions, we need a common denominator. The LCD for the terms 13x/30 and 4x/15 is 30.

Rewriting the expression with a common denominator, we get:

(13x/30) - (4x/15).

Next, subtract the fractions by subtracting their numerators:

(13x - 8x) / 30 = 5x/30.

Simplifying the numerator, we get:

5x/30 = x/6.