Question 110020
In all of the rational expressions get rid of fractions! makes problem much easier.
{{{5/(x-2)- 5/(x+2)=4}}} 
5(x+2)-5(x-2)=4(x-2)(x+2) multiply both sides by (x-2)(x+2)
5x+10-5x+10=4(x^2-4)
+20=4(x^2-4)
x^2-4=5 divide both sides by 4
x^2=9
x=+-3
.
This is much easier.
{{{(x/3)-(x+2)/2 =1}}}
2x-3(x+2)=6 multiply each side by 6
2x-3x-6=6
-x=12
x=-12
.
Ed