Question 103875
{{{9/(x-5)-1=8/(x+5)}}}
9(x+5)-(x+5)(x-5)=8(x-5) multiply both sides times (x-5)(x+5) to eliminat fractions.
9(x+5)-(x+5)(x-5)-8(x-5)=0 subtract 8(x-5) from both sides
9x+45-(x^2-25)-8x+40=0 Expand
9x+45-x^2+25-8x+40=0
-x^2+x+110=0 Combine terms
x^2-x-110=0 multiply both sides times -1
(x-11)(x+10)=0 factor
x=11, x=-10
Ed