Could someone anyone show me step by step these are practice problems I do not understand what they are asking

Question

Solve and check each of the following equations for x.
25. x/5-1/3=x-7/3
52. 11/x+2=5/x^2-x-6+1/x-3

Answer 1

You should use parentheses to preserve the meaning of the equations when transposing to the single line format here in yahoo answers.
Here's what they should look like:
25. x/5 - 1/3 = (x - 7)/ 3
52. 11/(x + 2) = 5/(x^2 - x - 6) + 1/(x - 3)

25.) x/5 - 1/3 = (x - 7)/3
The common denominator is 15. Multiply both sides by 15:
3x - 5 = 5x - 35
30 = 2x
x = 15

52.) 11/(x + 2) = 5/ (x^2 - x - 6) + 1/(x - 3)
Factor (x^2 - x - 6):
11/(x + 2) = 5/(x -3)(x + 2) + 1/(x - 3)
Multiply both sides by the common denominator, (x + 2)(x - 3):
11(x - 3) = 5 + (x + 2)
11x - 33 = x + 7
10x = 40
x = 4

Answer 2

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