Question 201399
This is a proportion and to solve proportions you just cross multiply.  Doing so we get:<br>

x+3/x-1 = x+2/x-3
(x+3)(x-3) = (x-1)(x+2)<br>

Now we F.O.I.L. these out and solve.<br>

(x+3)(x-3) = (x-1)(x+2)
x^2 - 9 = x^2 + x - 2
0 = x^2 - x^2 + x -2 + 9
0 = x + 7
x = -7<br>

Plugging in we see that this is the solution.