Answer:
x = ±5
Step-by-step explanation:
Multiply by (x-1)(x+1) and you get ...
(x+1) - (x -1) = (x -1)(x +1)/12
24 = x^2 -1 . . . . simplify and multiply by 12
0 = x^2 -25 . . . subtract 24
0 = (x -5)(x +5) . . . factor the difference of squares
Values of x that make the factors 0 are x=5 and x=-5.
The solutions are x=-5 or x=5.
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Subtracting the right side gives an equation that has its solutions at the x-intercepts of the left-side expression. These are seen to be -5 and +5 in the attached graph.
